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Imports
Init
equational_theories.Superposition
Mathlib.Tactic.ByContra
Mathlib.Tactic.TypeStar
equational_theories.Equations.All
Imported by
Equation421_implies_Equation4395
Equation421_implies_Equation628
Equation423_implies_Equation1022
Equation423_implies_Equation3320
Equation423_implies_Equation421
Equation4243_implies_Equation364
Equation4243_implies_Equation395
Equation4243_implies_Equation4040
Equation4243_implies_Equation4689
Equation424_implies_Equation423
Equation425_implies_Equation1021
Equation425_implies_Equation1023
Equation425_implies_Equation1630
Equation427_implies_Equation1020
Equation428_implies_Equation102
Equation428_implies_Equation1027
Equation428_implies_Equation1036
Equation428_implies_Equation105
Equation428_implies_Equation1067
Equation428_implies_Equation1229
Equation428_implies_Equation1232
Equation428_implies_Equation1239
Equation428_implies_Equation1242
Equation428_implies_Equation1249
Equation428_implies_Equation1640
Equation428_implies_Equation1843
Equation428_implies_Equation1849
Equation428_implies_Equation2037
Equation428_implies_Equation2253
Equation428_implies_Equation2459
Equation428_implies_Equation2649
Equation428_implies_Equation2862
Equation428_implies_Equation3462
Equation428_implies_Equation3661
Equation428_implies_Equation3721
Equation428_implies_Equation3725
Equation428_implies_Equation377
Equation428_implies_Equation3927
Equation428_implies_Equation3928
Equation428_implies_Equation4120
Equation428_implies_Equation4121
Equation428_implies_Equation4130
Equation428_implies_Equation4286
Equation428_implies_Equation4432
Equation428_implies_Equation4472
Equation428_implies_Equation4473
Equation428_implies_Equation4598
Equation428_implies_Equation4599
Equation428_implies_Equation4629
Equation428_implies_Equation52
Equation428_implies_Equation835
Equation428_implies_Equation836
Equation4299_implies_Equation4288
Equation4299_implies_Equation4297
Equation4299_implies_Equation4304
Equation4299_implies_Equation4308
Equation4299_implies_Equation4312
Equation4299_implies_Equation4355
Equation430_implies_Equation8
Equation431_implies_Equation461
Equation432_implies_Equation378
Equation433_implies_Equation1067
Equation433_implies_Equation854
Equation434_implies_Equation1060
Equation434_implies_Equation1855
Equation434_implies_Equation1863
Equation434_implies_Equation360
Equation434_implies_Equation443
Equation434_implies_Equation840
Equation438_implies_Equation462
Equation439_implies_Equation359
Equation4407_implies_Equation4431
Equation4411_implies_Equation4427
Equation441_implies_Equation4
Equation441_implies_Equation649
Equation4417_implies_Equation4429
Equation4419_implies_Equation4411
Equation442_implies_Equation432
Equation4444_implies_Equation4465
Equation4448_implies_Equation4391
Equation4448_implies_Equation4438
Equation4448_implies_Equation4452
Equation4448_implies_Equation4456
Equation4448_implies_Equation4460
Equation4448_implies_Equation4464
Equation444_implies_Equation858
Equation4449_implies_Equation4454
Equation4453_implies_Equation4465
Equation4454_implies_Equation4466
Equation445_implies_Equation636
Equation4457_implies_Equation4440
Equation4457_implies_Equation4467
Equation446_implies_Equation442
Equation446_implies_Equation458
Equation4465_implies_Equation4441
Equation4465_implies_Equation4468
Equation447_implies_Equation460
Equation4481_implies_Equation4505
Equation448_implies_Equation441
Equation4485_implies_Equation4501
Equation4493_implies_Equation4485
Equation449_implies_Equation631
Equation450_implies_Equation432
source
theorem
Equation421_implies_Equation4395
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation421
G
)
:
Equation4395
G
source
theorem
Equation421_implies_Equation628
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation421
G
)
:
Equation628
G
source
theorem
Equation423_implies_Equation1022
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation423
G
)
:
Equation1022
G
source
theorem
Equation423_implies_Equation3320
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation423
G
)
:
Equation3320
G
source
theorem
Equation423_implies_Equation421
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation423
G
)
:
Equation421
G
source
theorem
Equation4243_implies_Equation364
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4243
G
)
:
Equation364
G
source
theorem
Equation4243_implies_Equation395
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4243
G
)
:
Equation395
G
source
theorem
Equation4243_implies_Equation4040
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4243
G
)
:
Equation4040
G
source
theorem
Equation4243_implies_Equation4689
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4243
G
)
:
Equation4689
G
source
theorem
Equation424_implies_Equation423
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation424
G
)
:
Equation423
G
source
theorem
Equation425_implies_Equation1021
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation425
G
)
:
Equation1021
G
source
theorem
Equation425_implies_Equation1023
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation425
G
)
:
Equation1023
G
source
theorem
Equation425_implies_Equation1630
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation425
G
)
:
Equation1630
G
source
theorem
Equation427_implies_Equation1020
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation427
G
)
:
Equation1020
G
source
theorem
Equation428_implies_Equation102
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation102
G
source
theorem
Equation428_implies_Equation1027
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1027
G
source
theorem
Equation428_implies_Equation1036
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1036
G
source
theorem
Equation428_implies_Equation105
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation105
G
source
theorem
Equation428_implies_Equation1067
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1067
G
source
theorem
Equation428_implies_Equation1229
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1229
G
source
theorem
Equation428_implies_Equation1232
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1232
G
source
theorem
Equation428_implies_Equation1239
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1239
G
source
theorem
Equation428_implies_Equation1242
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1242
G
source
theorem
Equation428_implies_Equation1249
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1249
G
source
theorem
Equation428_implies_Equation1640
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1640
G
source
theorem
Equation428_implies_Equation1843
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1843
G
source
theorem
Equation428_implies_Equation1849
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation1849
G
source
theorem
Equation428_implies_Equation2037
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation2037
G
source
theorem
Equation428_implies_Equation2253
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation2253
G
source
theorem
Equation428_implies_Equation2459
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation2459
G
source
theorem
Equation428_implies_Equation2649
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation2649
G
source
theorem
Equation428_implies_Equation2862
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation2862
G
source
theorem
Equation428_implies_Equation3462
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation3462
G
source
theorem
Equation428_implies_Equation3661
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation3661
G
source
theorem
Equation428_implies_Equation3721
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation3721
G
source
theorem
Equation428_implies_Equation3725
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation3725
G
source
theorem
Equation428_implies_Equation377
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation377
G
source
theorem
Equation428_implies_Equation3927
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation3927
G
source
theorem
Equation428_implies_Equation3928
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation3928
G
source
theorem
Equation428_implies_Equation4120
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4120
G
source
theorem
Equation428_implies_Equation4121
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4121
G
source
theorem
Equation428_implies_Equation4130
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4130
G
source
theorem
Equation428_implies_Equation4286
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4286
G
source
theorem
Equation428_implies_Equation4432
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4432
G
source
theorem
Equation428_implies_Equation4472
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4472
G
source
theorem
Equation428_implies_Equation4473
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4473
G
source
theorem
Equation428_implies_Equation4598
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4598
G
source
theorem
Equation428_implies_Equation4599
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4599
G
source
theorem
Equation428_implies_Equation4629
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation4629
G
source
theorem
Equation428_implies_Equation52
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation52
G
source
theorem
Equation428_implies_Equation835
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation835
G
source
theorem
Equation428_implies_Equation836
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation428
G
)
:
Equation836
G
source
theorem
Equation4299_implies_Equation4288
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4299
G
)
:
Equation4288
G
source
theorem
Equation4299_implies_Equation4297
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4299
G
)
:
Equation4297
G
source
theorem
Equation4299_implies_Equation4304
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4299
G
)
:
Equation4304
G
source
theorem
Equation4299_implies_Equation4308
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4299
G
)
:
Equation4308
G
source
theorem
Equation4299_implies_Equation4312
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4299
G
)
:
Equation4312
G
source
theorem
Equation4299_implies_Equation4355
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4299
G
)
:
Equation4355
G
source
theorem
Equation430_implies_Equation8
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation430
G
)
:
Equation8
G
source
theorem
Equation431_implies_Equation461
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation431
G
)
:
Equation461
G
source
theorem
Equation432_implies_Equation378
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation432
G
)
:
Equation378
G
source
theorem
Equation433_implies_Equation1067
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation433
G
)
:
Equation1067
G
source
theorem
Equation433_implies_Equation854
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation433
G
)
:
Equation854
G
source
theorem
Equation434_implies_Equation1060
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation434
G
)
:
Equation1060
G
source
theorem
Equation434_implies_Equation1855
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation434
G
)
:
Equation1855
G
source
theorem
Equation434_implies_Equation1863
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation434
G
)
:
Equation1863
G
source
theorem
Equation434_implies_Equation360
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation434
G
)
:
Equation360
G
source
theorem
Equation434_implies_Equation443
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation434
G
)
:
Equation443
G
source
theorem
Equation434_implies_Equation840
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation434
G
)
:
Equation840
G
source
theorem
Equation438_implies_Equation462
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation438
G
)
:
Equation462
G
source
theorem
Equation439_implies_Equation359
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation439
G
)
:
Equation359
G
source
theorem
Equation4407_implies_Equation4431
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4407
G
)
:
Equation4431
G
source
theorem
Equation4411_implies_Equation4427
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4411
G
)
:
Equation4427
G
source
theorem
Equation441_implies_Equation4
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation441
G
)
:
Equation4
G
source
theorem
Equation441_implies_Equation649
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation441
G
)
:
Equation649
G
source
theorem
Equation4417_implies_Equation4429
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4417
G
)
:
Equation4429
G
source
theorem
Equation4419_implies_Equation4411
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4419
G
)
:
Equation4411
G
source
theorem
Equation442_implies_Equation432
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation442
G
)
:
Equation432
G
source
theorem
Equation4444_implies_Equation4465
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4444
G
)
:
Equation4465
G
source
theorem
Equation4448_implies_Equation4391
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4448
G
)
:
Equation4391
G
source
theorem
Equation4448_implies_Equation4438
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4448
G
)
:
Equation4438
G
source
theorem
Equation4448_implies_Equation4452
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4448
G
)
:
Equation4452
G
source
theorem
Equation4448_implies_Equation4456
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4448
G
)
:
Equation4456
G
source
theorem
Equation4448_implies_Equation4460
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4448
G
)
:
Equation4460
G
source
theorem
Equation4448_implies_Equation4464
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4448
G
)
:
Equation4464
G
source
theorem
Equation444_implies_Equation858
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation444
G
)
:
Equation858
G
source
theorem
Equation4449_implies_Equation4454
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4449
G
)
:
Equation4454
G
source
theorem
Equation4453_implies_Equation4465
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4453
G
)
:
Equation4465
G
source
theorem
Equation4454_implies_Equation4466
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4454
G
)
:
Equation4466
G
source
theorem
Equation445_implies_Equation636
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation445
G
)
:
Equation636
G
source
theorem
Equation4457_implies_Equation4440
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4457
G
)
:
Equation4440
G
source
theorem
Equation4457_implies_Equation4467
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4457
G
)
:
Equation4467
G
source
theorem
Equation446_implies_Equation442
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation446
G
)
:
Equation442
G
source
theorem
Equation446_implies_Equation458
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation446
G
)
:
Equation458
G
source
theorem
Equation4465_implies_Equation4441
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4465
G
)
:
Equation4441
G
source
theorem
Equation4465_implies_Equation4468
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4465
G
)
:
Equation4468
G
source
theorem
Equation447_implies_Equation460
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation447
G
)
:
Equation460
G
source
theorem
Equation4481_implies_Equation4505
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4481
G
)
:
Equation4505
G
source
theorem
Equation448_implies_Equation441
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation448
G
)
:
Equation441
G
source
theorem
Equation4485_implies_Equation4501
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4485
G
)
:
Equation4501
G
source
theorem
Equation4493_implies_Equation4485
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation4493
G
)
:
Equation4485
G
source
theorem
Equation449_implies_Equation631
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation449
G
)
:
Equation631
G
source
theorem
Equation450_implies_Equation432
(G :
Type
u_1)
[
Magma
G
]
(h :
Equation450
G
)
:
Equation432
G