Theorems · Theorem · commutative algebra
Algebra.Extension.h1CotangentEquivCotangent_comp_map
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : Algebra.Extension R S),
↑P.h1CotangentEquivCotangent ∘ₗ Algebra.H1Cotangent.map R P.Ring S S =
Algebra.Extension.h1Cotangentι ∘ₗ Algebra.Extension.H1Cotangent.map (Algebra.Extension.defaultHom R S P)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement and proof · cited by 10,215
- LinearEquivproof · cited by 3,317
- LinearMap.compstatement and proof · cited by 1,642
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
- Algebra.Extension.Ringstatement and proof · cited by 179
- Algebra.Extensionstatement and proof · cited by 138
- Algebra.Extension.Cotangentstatement and proof · cited by 121
- Algebra.Generators.toExtensionstatement and proof · cited by 103
- LinearMap.comp_assocproof · cited by 54
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.Extension.H1Cotangent.map_defaultHom_surjectiveproof · cited by 0