Theorems · Theorem · commutative algebra
Algebra.SubmersivePresentation.ofAlgEquiv_toPreSubmersivePresentation
∀ {R : Type u} {S : Type v} {ι : Type w} {σ : Type t} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
[inst_3 : Finite σ] (P : Algebra.SubmersivePresentation R S ι σ) {T : Type u_1} [inst_4 : CommRing T]
[inst_5 : Algebra R T] (e : S ≃ₐ[R] T), (P.ofAlgEquiv e).toPreSubmersivePresentation = P.ofAlgEquiv e- Cited by
- 1 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Finitestatement and proof · cited by 3,029
- AlgEquivstatement and proof · cited by 1,681
- Algebra.PreSubmersivePresentationstatement · cited by 54
- Algebra.SubmersivePresentationstatement and proof · cited by 52
- Algebra.SubmersivePresentation.toPreSubmersivePresentationstatement and proof · cited by 47
- Algebra.PreSubmersivePresentation.ofAlgEquivstatement · cited by 5
- Algebra.SubmersivePresentation.ofAlgEquivstatement and proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.IsStandardSmoothOfRelativeDimension.of_algEquivproof · cited by 0