Theorems · Theorem · commutative algebra
RingHom.Smooth.ofLocalizationSpanTarget
RingHom.OfLocalizationSpanTarget fun {R S} [CommRing R] [CommRing S] => RingHom.Smooth- Defined in
- Mathlib.RingTheory.RingHom.Smooth
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- RingHomproof · cited by 10,189
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Algebra.algebraMapproof · cited by 4,706
- Set.iUnionproof · cited by 2,483
- iSupproof · cited by 2,415
- TopologicalSpace.Opensproof · cited by 2,040
- Ideal.spanproof · cited by 948
Cited by2
Results whose statement or proof uses this declaration.
- RingHom.Smooth.propertyIsLocalproof · cited by 5
- RingHom.smooth_iff_locally_isStandardSmoothproof · cited by 1