Theorems · Theorem · commutative algebra
Algebra.tensorH1CotangentOfIsLocalization.congr_simp
∀ (R : Type u_1) {S : Type u_2} (T : Type u_3) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
[inst_3 : Algebra R S] [inst_4 : Algebra R T] [inst_5 : Algebra S T] [inst_6 : IsScalarTower R S T]
(M M_1 : Submonoid S) (e_M : M = M_1) [inst_7 : IsLocalization M T],
Algebra.tensorH1CotangentOfIsLocalization R T M = Algebra.tensorH1CotangentOfIsLocalization R T M_1- Defined in
- Mathlib.RingTheory.Etale.Kaehler
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- IsScalarTowerstatement and proof · cited by 3,896
- LinearEquivstatement · cited by 3,317
- Submonoidstatement and proof · cited by 3,086
- TensorProductstatement · cited by 2,545
- IsLocalizationstatement and proof · cited by 636
- Algebra.Generators.toExtensionstatement · cited by 103
- Algebra.H1Cotangentstatement · cited by 27
- Algebra.Generators.selfstatement · cited by 22
- Algebra.tensorH1CotangentOfIsLocalizationstatement and proof · cited by 2
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