Theorems · Theorem · commutative algebra
Algebra.SubmersivePresentation.basisCotangent_localizationAway_apply
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (r : R)
[inst_3 : IsLocalization.Away r S] (x : Unit),
(Algebra.SubmersivePresentation.localizationAway S r).basisCotangent x = Algebra.Generators.cMulXSubOneCotangent S r- Cited by
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- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Module.Basisstatement · cited by 1,477
- IsLocalization.Awaystatement and proof · cited by 218
- Algebra.Extension.Cotangentstatement · cited by 121
- Algebra.Presentation.toGeneratorsstatement · cited by 104
- Algebra.Generators.toExtensionstatement · cited by 103
- Algebra.PreSubmersivePresentation.toPresentationstatement · cited by 84
- Algebra.SubmersivePresentation.toPreSubmersivePresentationstatement · cited by 47
- Algebra.Generators.cMulXSubOneCotangentstatement · cited by 11
- Algebra.SubmersivePresentation.localizationAwaystatement and proof · cited by 4
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