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Theorems · Theorem · algebraic geometry

RingEquiv.surjectiveOnStalks

∀ {R : Type u_1} [inst : CommRing R] {S : Type u_2} [inst_1 : CommRing S] (e : R ≃+* S), e.toRingHom.SurjectiveOnStalks
Defined in
Mathlib.RingTheory.SurjectiveOnStalks
Cited by
2 results in Mathlib
Foundations
Depth 77 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.

Algebra.WeaklyQuasiFiniteAt.baseChange · cited by 2WeaklyQuasiFiniteAt.baseC…RingHom.SurjectiveOnStalks.tensorProductMap · cited by 0SurjectiveOnStalks.tensor…CommRing · cited by 17173CommRingRingEquiv · cited by 1147RingEquivRingEquiv.toRingHom · cited by 150RingEquiv.toRingHomRingEquiv.surjective · cited by 28RingEquiv.surjectiveRingHom.SurjectiveOnStalks · cited by 26RingHom.SurjectiveOnStalksRingHom.surjectiveOnStalks_of_surjective · cited by 7RingHom.surjectiveOnStalk…RingEquiv.surjectiveOnStalksCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.