Theorems · Theorem · commutative algebra
Algebra.Extension.cotangentExtendScalarsEquiv_symm_toLinearMap
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : Algebra.Extension R S), ↑P.cotangentExtendScalarsEquiv.symm = Algebra.Extension.Cotangent.map P.toExtendScalars- Cited by
- 2 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- LinearEquiv.symmstatement and proof · cited by 1,461
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
- LinearMap.extproof · cited by 844
- Algebra.Extension.Ringstatement and proof · cited by 179
- Algebra.Extensionstatement and proof · cited by 138
- Algebra.Extension.Cotangentstatement and proof · cited by 121
- Algebra.Extension.kerproof · cited by 72
Cited by2
Results whose statement or proof uses this declaration.
- Algebra.Extension.h1CotangentEquivCotangent_comp_mapproof · cited by 1
- Algebra.Extension.H1Cotangent.map_toExtendScalars_injectiveproof · cited by 0