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Theorems · Theorem · commutative algebra

RingHom.Smooth.of_bijective

∀ {R : Type u_3} {S : Type u_4} [inst : CommRing R] [inst_1 : CommRing S] {f : R →+* S},
  Function.Bijective ⇑f → f.Smooth
Defined in
Mathlib.RingTheory.RingHom.Smooth
Cited by
1 results in Mathlib
Foundations
Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RingHom.Etale.of_bijective · cited by 1Etale.of_bijectiveDFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomFunction.Bijective · cited by 863Function.BijectiveRingHom.Smooth · cited by 30RingHom.SmoothRingHom.smooth_def · cited by 4RingHom.smooth_defRingHom.FormallySmooth.of_bijective · cited by 1FormallySmooth.of_bijecti…RingHom.FinitePresentation.of_bijective · cited by 1FinitePresentation.of_bij…Smooth.of_bijectiveCITED BYCITES

Cites8

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Cited by1

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