Theorems · Theorem · commutative algebra
RingHom.FormallySmooth.of_bijective
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] {f : R →+* S},
Function.Bijective ⇑f → f.FormallySmooth- Defined in
- Mathlib.RingTheory.RingHom.Smooth
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 133 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.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Function.Bijectivestatement and proof · cited by 863
- RingHom.toAlgebraproof · cited by 337
- Algebra.ofIdproof · cited by 166
- AlgEquiv.ofBijectiveproof · cited by 34
- RingHom.FormallySmoothstatement · cited by 18
- Algebra.FormallySmooth.of_equivproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.Smooth.of_bijectiveproof · cited by 1