Theorems · Theorem · commutative algebra
RingHom.FinitePresentation.of_bijective
∀ {A : Type u_1} {B : Type u_2} [inst : CommRing A] [inst_1 : CommRing B] {f : A →+* B},
Function.Bijective ⇑f → f.FinitePresentation- Defined in
- Mathlib.RingTheory.FinitePresentation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Idealproof · cited by 4,748
- Bot.botproof · cited by 4,720
- Function.Bijectivestatement and proof · cited by 863
- RingHom.kerproof · cited by 363
- Ideal.FGproof · cited by 99
- RingHom.FinitePresentationstatement · cited by 37
- RingHom.injective_iff_ker_eq_botproof · cited by 29
- Submodule.fg_botproof · cited by 13
- RingHom.FinitePresentation.of_surjectiveproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.Smooth.of_bijectiveproof · cited by 1