Theorems · Theorem · commutative algebra
Algebra.Extension.Cotangent.map_toInfinitesimal_bijective
∀ {R : Type u_1} {S : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : Algebra.Extension R S), Function.Bijective ⇑(Algebra.Extension.Cotangent.map P.toInfinitesimal)- Defined in
- Mathlib.RingTheory.Smooth.Kaehler
- Cited by
- 1 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.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- Idealproof · cited by 4,748
- HasQuotient.Quotientproof · cited by 2,301
- Function.Bijectivestatement · cited by 863
- Ideal.Quotient.mkproof · cited by 610
- Algebra.Extension.Ringproof · cited by 179
- Algebra.Extensionstatement and proof · cited by 138
- Ideal.Quotient.mk_surjectiveproof · cited by 134
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.Extension.H1Cotangent.map_toInfinitesimal_bijectiveproof · cited by 1