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Imports
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equational_theories.Superposition
Mathlib.Tactic.ByContra
Mathlib.Tactic.TypeStar
equational_theories.Equations.All
Imported by
Equation3108_implies_Equation2293
Equation3108_implies_Equation2300
Equation3108_implies_Equation2303
Equation3108_implies_Equation2330
Equation3108_implies_Equation2337
Equation3108_implies_Equation2496
Equation3108_implies_Equation2513
Equation3108_implies_Equation2655
Equation3108_implies_Equation2662
Equation3108_implies_Equation2736
Equation3108_implies_Equation3309
Equation3108_implies_Equation333
Equation3108_implies_Equation3343
Equation3108_implies_Equation3346
Equation3108_implies_Equation3509
Equation3108_implies_Equation3546
Equation3108_implies_Equation3664
Equation3108_implies_Equation3712
Equation3108_implies_Equation3759
Equation3108_implies_Equation3880
Equation3108_implies_Equation4284
Equation3108_implies_Equation4291
Equation3108_implies_Equation4320
Equation3108_implies_Equation4382
Equation3108_implies_Equation4396
Equation3108_implies_Equation4445
Equation3108_implies_Equation4642
Equation3108_implies_Equation616
Equation3108_implies_Equation822
Equation3109_implies_Equation2924
Equation3113_implies_Equation23
Equation3114_implies_Equation890
Equation3117_implies_Equation1886
Equation3119_implies_Equation3117
Equation3122_implies_Equation1228
Equation3122_implies_Equation2050
Equation3122_implies_Equation2659
Equation3122_implies_Equation2882
Equation3122_implies_Equation3176
Equation3122_implies_Equation4070
Equation3123_implies_Equation507
Equation3123_implies_Equation685
Equation3127_implies_Equation1896
Equation3130_implies_Equation2633
Equation3135_implies_Equation3228
Equation3141_implies_Equation674
Equation3144_implies_Equation1490
Equation3145_implies_Equation2554
Equation3145_implies_Equation2739
Equation3145_implies_Equation3197
Equation3151_implies_Equation908
Equation315_implies_Equation3278
Equation3159_implies_Equation2567
Equation3160_implies_Equation2701
Equation3163_implies_Equation2633
Equation3176_implies_Equation1238
Equation3176_implies_Equation270
Equation3177_implies_Equation1765
Equation3181_implies_Equation673
Equation3194_implies_Equation884
Equation3196_implies_Equation490
Equation3210_implies_Equation3159
Equation3254_implies_Equation307
Equation3260_implies_Equation3266
Equation3270_implies_Equation3299
Equation3273_implies_Equation3295
Equation3274_implies_Equation3288
Equation3277_implies_Equation3267
Equation3277_implies_Equation3295
Equation3277_implies_Equation3304
Equation3280_implies_Equation3257
Equation3280_implies_Equation3283
Equation3280_implies_Equation3284
Equation3280_implies_Equation3285
Equation3280_implies_Equation3287
Equation3283_implies_Equation3303
Equation3284_implies_Equation3288
Equation3296_implies_Equation3288
Equation3317_implies_Equation325
Equation3324_implies_Equation308
Equation3324_implies_Equation327
Equation3324_implies_Equation3527
Equation3324_implies_Equation4357
Equation3344_implies_Equation3806
Equation3347_implies_Equation4195
Equation3348_implies_Equation3565
Equation3348_implies_Equation4178
Equation3349_implies_Equation3451
Equation335_implies_Equation3456
Equation335_implies_Equation3659
Equation335_implies_Equation3862
Equation3355_implies_Equation4065
Equation3358_implies_Equation3561
Equation3370_implies_Equation43
Equation3417_implies_Equation43
Equation3473_implies_Equation3502
Equation3476_implies_Equation3498
Equation3477_implies_Equation3499
Equation3478_implies_Equation3504
Equation3479_implies_Equation3506
Equation3480_implies_Equation3494
Equation3483_implies_Equation3460
Equation3483_implies_Equation3487
Equation3483_implies_Equation3488
Equation3483_implies_Equation3489
Equation3483_implies_Equation3490
Equation3486_implies_Equation3473
Equation3487_implies_Equation3499
Equation3492_implies_Equation3504
Equation3493_implies_Equation3505
Equation3494_implies_Equation3507
Equation3495_implies_Equation307
Equation3495_implies_Equation3278
Equation3495_implies_Equation3674
Equation3501_implies_Equation3466
Equation3501_implies_Equation3486
Equation3504_implies_Equation3709
Equation3551_implies_Equation3975
Equation3561_implies_Equation3577
Equation3565_implies_Equation4212
source
theorem
Equation3108_implies_Equation2293
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2293
G
source
theorem
Equation3108_implies_Equation2300
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2300
G
source
theorem
Equation3108_implies_Equation2303
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2303
G
source
theorem
Equation3108_implies_Equation2330
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2330
G
source
theorem
Equation3108_implies_Equation2337
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2337
G
source
theorem
Equation3108_implies_Equation2496
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2496
G
source
theorem
Equation3108_implies_Equation2513
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2513
G
source
theorem
Equation3108_implies_Equation2655
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2655
G
source
theorem
Equation3108_implies_Equation2662
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2662
G
source
theorem
Equation3108_implies_Equation2736
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation2736
G
source
theorem
Equation3108_implies_Equation3309
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation3309
G
source
theorem
Equation3108_implies_Equation333
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation333
G
source
theorem
Equation3108_implies_Equation3343
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation3343
G
source
theorem
Equation3108_implies_Equation3346
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation3346
G
source
theorem
Equation3108_implies_Equation3509
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation3509
G
source
theorem
Equation3108_implies_Equation3546
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation3546
G
source
theorem
Equation3108_implies_Equation3664
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation3664
G
source
theorem
Equation3108_implies_Equation3712
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation3712
G
source
theorem
Equation3108_implies_Equation3759
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation3759
G
source
theorem
Equation3108_implies_Equation3880
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation3880
G
source
theorem
Equation3108_implies_Equation4284
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation4284
G
source
theorem
Equation3108_implies_Equation4291
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation4291
G
source
theorem
Equation3108_implies_Equation4320
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation4320
G
source
theorem
Equation3108_implies_Equation4382
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation4382
G
source
theorem
Equation3108_implies_Equation4396
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation4396
G
source
theorem
Equation3108_implies_Equation4445
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation4445
G
source
theorem
Equation3108_implies_Equation4642
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation4642
G
source
theorem
Equation3108_implies_Equation616
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation616
G
source
theorem
Equation3108_implies_Equation822
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3108
G
)
:
Equation822
G
source
theorem
Equation3109_implies_Equation2924
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3109
G
)
:
Equation2924
G
source
theorem
Equation3113_implies_Equation23
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3113
G
)
:
Equation23
G
source
theorem
Equation3114_implies_Equation890
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3114
G
)
:
Equation890
G
source
theorem
Equation3117_implies_Equation1886
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3117
G
)
:
Equation1886
G
source
theorem
Equation3119_implies_Equation3117
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3119
G
)
:
Equation3117
G
source
theorem
Equation3122_implies_Equation1228
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3122
G
)
:
Equation1228
G
source
theorem
Equation3122_implies_Equation2050
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3122
G
)
:
Equation2050
G
source
theorem
Equation3122_implies_Equation2659
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3122
G
)
:
Equation2659
G
source
theorem
Equation3122_implies_Equation2882
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3122
G
)
:
Equation2882
G
source
theorem
Equation3122_implies_Equation3176
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3122
G
)
:
Equation3176
G
source
theorem
Equation3122_implies_Equation4070
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3122
G
)
:
Equation4070
G
source
theorem
Equation3123_implies_Equation507
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3123
G
)
:
Equation507
G
source
theorem
Equation3123_implies_Equation685
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3123
G
)
:
Equation685
G
source
theorem
Equation3127_implies_Equation1896
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3127
G
)
:
Equation1896
G
source
theorem
Equation3130_implies_Equation2633
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3130
G
)
:
Equation2633
G
source
theorem
Equation3135_implies_Equation3228
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3135
G
)
:
Equation3228
G
source
theorem
Equation3141_implies_Equation674
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3141
G
)
:
Equation674
G
source
theorem
Equation3144_implies_Equation1490
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3144
G
)
:
Equation1490
G
source
theorem
Equation3145_implies_Equation2554
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3145
G
)
:
Equation2554
G
source
theorem
Equation3145_implies_Equation2739
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3145
G
)
:
Equation2739
G
source
theorem
Equation3145_implies_Equation3197
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3145
G
)
:
Equation3197
G
source
theorem
Equation3151_implies_Equation908
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3151
G
)
:
Equation908
G
source
theorem
Equation315_implies_Equation3278
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation315
G
)
:
Equation3278
G
source
theorem
Equation3159_implies_Equation2567
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3159
G
)
:
Equation2567
G
source
theorem
Equation3160_implies_Equation2701
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3160
G
)
:
Equation2701
G
source
theorem
Equation3163_implies_Equation2633
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3163
G
)
:
Equation2633
G
source
theorem
Equation3176_implies_Equation1238
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3176
G
)
:
Equation1238
G
source
theorem
Equation3176_implies_Equation270
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3176
G
)
:
Equation270
G
source
theorem
Equation3177_implies_Equation1765
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3177
G
)
:
Equation1765
G
source
theorem
Equation3181_implies_Equation673
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3181
G
)
:
Equation673
G
source
theorem
Equation3194_implies_Equation884
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3194
G
)
:
Equation884
G
source
theorem
Equation3196_implies_Equation490
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3196
G
)
:
Equation490
G
source
theorem
Equation3210_implies_Equation3159
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3210
G
)
:
Equation3159
G
source
theorem
Equation3254_implies_Equation307
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3254
G
)
:
Equation307
G
source
theorem
Equation3260_implies_Equation3266
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3260
G
)
:
Equation3266
G
source
theorem
Equation3270_implies_Equation3299
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3270
G
)
:
Equation3299
G
source
theorem
Equation3273_implies_Equation3295
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3273
G
)
:
Equation3295
G
source
theorem
Equation3274_implies_Equation3288
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3274
G
)
:
Equation3288
G
source
theorem
Equation3277_implies_Equation3267
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3277
G
)
:
Equation3267
G
source
theorem
Equation3277_implies_Equation3295
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3277
G
)
:
Equation3295
G
source
theorem
Equation3277_implies_Equation3304
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3277
G
)
:
Equation3304
G
source
theorem
Equation3280_implies_Equation3257
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3280
G
)
:
Equation3257
G
source
theorem
Equation3280_implies_Equation3283
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3280
G
)
:
Equation3283
G
source
theorem
Equation3280_implies_Equation3284
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3280
G
)
:
Equation3284
G
source
theorem
Equation3280_implies_Equation3285
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3280
G
)
:
Equation3285
G
source
theorem
Equation3280_implies_Equation3287
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3280
G
)
:
Equation3287
G
source
theorem
Equation3283_implies_Equation3303
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3283
G
)
:
Equation3303
G
source
theorem
Equation3284_implies_Equation3288
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3284
G
)
:
Equation3288
G
source
theorem
Equation3296_implies_Equation3288
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3296
G
)
:
Equation3288
G
source
theorem
Equation3317_implies_Equation325
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3317
G
)
:
Equation325
G
source
theorem
Equation3324_implies_Equation308
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3324
G
)
:
Equation308
G
source
theorem
Equation3324_implies_Equation327
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3324
G
)
:
Equation327
G
source
theorem
Equation3324_implies_Equation3527
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3324
G
)
:
Equation3527
G
source
theorem
Equation3324_implies_Equation4357
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3324
G
)
:
Equation4357
G
source
theorem
Equation3344_implies_Equation3806
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3344
G
)
:
Equation3806
G
source
theorem
Equation3347_implies_Equation4195
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3347
G
)
:
Equation4195
G
source
theorem
Equation3348_implies_Equation3565
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3348
G
)
:
Equation3565
G
source
theorem
Equation3348_implies_Equation4178
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3348
G
)
:
Equation4178
G
source
theorem
Equation3349_implies_Equation3451
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3349
G
)
:
Equation3451
G
source
theorem
Equation335_implies_Equation3456
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation335
G
)
:
Equation3456
G
source
theorem
Equation335_implies_Equation3659
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation335
G
)
:
Equation3659
G
source
theorem
Equation335_implies_Equation3862
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation335
G
)
:
Equation3862
G
source
theorem
Equation3355_implies_Equation4065
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3355
G
)
:
Equation4065
G
source
theorem
Equation3358_implies_Equation3561
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3358
G
)
:
Equation3561
G
source
theorem
Equation3370_implies_Equation43
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3370
G
)
:
Equation43
G
source
theorem
Equation3417_implies_Equation43
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3417
G
)
:
Equation43
G
source
theorem
Equation3473_implies_Equation3502
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3473
G
)
:
Equation3502
G
source
theorem
Equation3476_implies_Equation3498
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3476
G
)
:
Equation3498
G
source
theorem
Equation3477_implies_Equation3499
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3477
G
)
:
Equation3499
G
source
theorem
Equation3478_implies_Equation3504
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3478
G
)
:
Equation3504
G
source
theorem
Equation3479_implies_Equation3506
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3479
G
)
:
Equation3506
G
source
theorem
Equation3480_implies_Equation3494
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3480
G
)
:
Equation3494
G
source
theorem
Equation3483_implies_Equation3460
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3483
G
)
:
Equation3460
G
source
theorem
Equation3483_implies_Equation3487
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3483
G
)
:
Equation3487
G
source
theorem
Equation3483_implies_Equation3488
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3483
G
)
:
Equation3488
G
source
theorem
Equation3483_implies_Equation3489
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3483
G
)
:
Equation3489
G
source
theorem
Equation3483_implies_Equation3490
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3483
G
)
:
Equation3490
G
source
theorem
Equation3486_implies_Equation3473
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3486
G
)
:
Equation3473
G
source
theorem
Equation3487_implies_Equation3499
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3487
G
)
:
Equation3499
G
source
theorem
Equation3492_implies_Equation3504
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3492
G
)
:
Equation3504
G
source
theorem
Equation3493_implies_Equation3505
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3493
G
)
:
Equation3505
G
source
theorem
Equation3494_implies_Equation3507
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3494
G
)
:
Equation3507
G
source
theorem
Equation3495_implies_Equation307
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3495
G
)
:
Equation307
G
source
theorem
Equation3495_implies_Equation3278
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3495
G
)
:
Equation3278
G
source
theorem
Equation3495_implies_Equation3674
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3495
G
)
:
Equation3674
G
source
theorem
Equation3501_implies_Equation3466
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3501
G
)
:
Equation3466
G
source
theorem
Equation3501_implies_Equation3486
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3501
G
)
:
Equation3486
G
source
theorem
Equation3504_implies_Equation3709
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3504
G
)
:
Equation3709
G
source
theorem
Equation3551_implies_Equation3975
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3551
G
)
:
Equation3975
G
source
theorem
Equation3561_implies_Equation3577
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3561
G
)
:
Equation3577
G
source
theorem
Equation3565_implies_Equation4212
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation3565
G
)
:
Equation4212
G