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Theorems · Theorem · commutative algebra

RingHom.rangeS_eq_map

∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (f : R →+* S),
  f.rangeS = Subsemiring.map f ⊤
Defined in
Mathlib.Algebra.Ring.Subsemiring.Basic
Cited by
1 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonAssocSemiringNonAssocSemiring
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Around this declaration

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

RingHom.map_rangeS · cited by 0RingHom.map_rangeSDFunLike.coe · cited by 62936DFunLike.coeRingHom · cited by 10189RingHomTop.top · cited by 9680Top.topNonAssocSemiring · cited by 805NonAssocSemiringSubsemiring · cited by 456SubsemiringRingHom.rangeS · cited by 47RingHom.rangeSSubsemiring.map · cited by 29Subsemiring.mapSubsemiring.ext · cited by 9Subsemiring.extRingHom.rangeS_eq_mapCITED BYCITES

Cites8

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Cited by1

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