Theorems · Theorem · commutative algebra
Algebra.IsStandardSmoothOfRelativeDimension.of_algEquiv
∀ (n : ℕ) {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {T : Type u_1}
[inst_3 : CommRing T] [inst_4 : Algebra R T] (e : S ≃ₐ[R] T) [Algebra.IsStandardSmoothOfRelativeDimension n R S],
Algebra.IsStandardSmoothOfRelativeDimension n R T- Defined in
- Mathlib.RingTheory.Smooth.StandardSmooth
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
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- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Finiteproof · cited by 3,029
- AlgEquivstatement and proof · cited by 1,681
- Algebra.PreSubmersivePresentation.toPresentationproof · cited by 84
- Algebra.SubmersivePresentationproof · cited by 52
- Algebra.SubmersivePresentation.toPreSubmersivePresentationproof · cited by 47
- Algebra.IsStandardSmoothOfRelativeDimensionstatement and proof · cited by 17
- Algebra.Presentation.dimensionproof · cited by 16
- Algebra.IsStandardSmoothOfRelativeDimension.casesOnproof · cited by 3
- Algebra.SubmersivePresentation.ofAlgEquivproof · cited by 3
- Algebra.PreSubmersivePresentation.ofAlgEquiv_toPresentationproof · cited by 2
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