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Theorems · Theorem · commutative algebra

Subsemiring.coe_map

∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (f : R →+* S) (s : Subsemiring R),
  ↑(Subsemiring.map f s) = ⇑f '' ↑s
Defined in
Mathlib.Algebra.Ring.Subsemiring.Basic
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses no axioms
Assumes
NonAssocSemiringNonAssocSemiring
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Around this declaration

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Subsemiring.map_iInf · cited by 0Subsemiring.map_iInfDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetRingHom · cited by 10189RingHomSetLike.coe · cited by 8199SetLike.coeSet.image · cited by 5609Set.imageNonAssocSemiring · cited by 805NonAssocSemiringSubsemiring · cited by 456SubsemiringSubsemiring.map · cited by 29Subsemiring.mapSubsemiring.coe_mapCITED BYCITES

Cites8

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Cited by1

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