Theorems · Theorem · commutative algebra
RingHom.Smooth.holdsForLocalizationAway
RingHom.HoldsForLocalizationAway fun {R S} [CommRing R] [CommRing S] => RingHom.Smooth- Defined in
- Mathlib.RingTheory.RingHom.Smooth
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 131 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
- Algebraproof · cited by 11,388
- Submonoid.powersproof · cited by 408
- IsLocalization.Awayproof · cited by 218
- RingHom.Smoothstatement · cited by 30
- RingHom.HoldsForLocalizationAwaystatement · cited by 16
- IsLocalization.Away.finitePresentationproof · cited by 7
- Algebra.FormallySmooth.of_isLocalizationproof · cited by 6
- RingHom.smooth_algebraMapproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- RingHom.Smooth.propertyIsLocalproof · cited by 5
- RingHom.Smooth.idproof · cited by 0