Theorems · Theorem · commutative algebra
StandardEtalePresentation.hom_ext
∀ {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] (P : StandardEtalePresentation R S) {f₁ f₂ : S →ₐ[R] T},
f₁ P.x = f₂ P.x → f₁ = f₂- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- AlgHomstatement and proof · cited by 3,236
- AlgEquiv.symmproof · cited by 615
- AlgHom.compproof · cited by 501
- AlgEquiv.toAlgHomproof · cited by 273
- AlgHom.extproof · cited by 170
- AlgEquiv.surjectiveproof · cited by 48
- StandardEtalePair.Ringproof · cited by 26
- StandardEtalePresentationstatement and proof · cited by 19
- StandardEtalePresentation.Pproof · cited by 13
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