Theorems · Theorem · commutative algebra
RingHom.Smooth.isStableUnderBaseChange
RingHom.IsStableUnderBaseChange fun {R S} [CommRing R] [CommRing S] => RingHom.Smooth- Defined in
- Mathlib.RingTheory.RingHom.Smooth
- Cited by
- 2 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.
Cites10
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
- RingHomproof · cited by 10,189
- RingHom.FinitePresentationproof · cited by 37
- RingHom.Smoothstatement and proof · cited by 30
- RingHom.IsStableUnderBaseChangestatement and proof · cited by 30
- RingHom.FormallySmoothproof · cited by 18
- RingHom.smooth_defproof · cited by 4
- RingHom.IsStableUnderBaseChange.andproof · cited by 2
- RingHom.finitePresentation_isStableUnderBaseChangeproof · cited by 2
- RingHom.FormallySmooth.isStableUnderBaseChangeproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- RingHom.Smooth.propertyIsLocalproof · cited by 5
- RingHom.Etale.isStableUnderBaseChangeproof · cited by 0