Theorems · Theorem · commutative algebra
RingHom.FormallySmooth.respectsIso
RingHom.RespectsIso @RingHom.FormallySmooth
- Defined in
- Mathlib.RingTheory.RingHom.Smooth
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingproof · cited by 17,173
- RingEquivproof · cited by 1,147
- RingEquiv.toRingHomproof · cited by 150
- RingHom.RespectsIsostatement · cited by 78
- RingEquiv.bijectiveproof · cited by 22
- RingHom.FormallySmoothstatement and proof · cited by 18
- RingHom.StableUnderComposition.respectsIsoproof · cited by 15
- RingHom.HoldsForLocalizationAway.of_bijectiveproof · cited by 2
- RingHom.FormallySmooth.stableUnderCompositionproof · cited by 1
- RingHom.FormallySmooth.holdsForLocalizationAwayproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.formallySmooth_stalkMap_iffproof · cited by 3
- RingHom.FormallySmooth.isStableUnderBaseChangeproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.preimage_smoothLocus_eqproof · cited by 1