Theorems · Theorem · commutative algebra
RingHom.finitePresentation_holdsForLocalizationAway
RingHom.HoldsForLocalizationAway @RingHom.FinitePresentation
If R is a ring, then Rᵣ is R-finitely-presented for any r : R.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingproof · cited by 17,173
- Algebraproof · cited by 11,388
- IsLocalization.Awayproof · cited by 218
- RingHom.FinitePresentationstatement · cited by 37
- RingHom.HoldsForLocalizationAwaystatement · cited by 16
- IsLocalization.Away.finitePresentationproof · cited by 7
- RingHom.finitePresentation_algebraMapproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.finitePresentation_isLocalproof · cited by 0