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Theorems · Theorem · ring theory

NonUnitalRingHom.mem_srange

∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocSemiring R] [inst_1 : NonUnitalNonAssocSemiring S] {F : Type u_1}
  [inst_2 : FunLike F R S] [inst_3 : NonUnitalRingHomClass F R S] {f : F} {y : S},
  y ∈ NonUnitalRingHom.srange f ↔ ∃ x, f x = y
Defined in
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
Cited by
4 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringFunLikeNonUnitalRingHomClass
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Around this declaration

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

NonUnitalAlgHom.mem_range · cited by 3NonUnitalAlgHom.mem_rangeNonUnitalRingHom.srangeRestrict_surjective · cited by 0NonUnitalRingHom.srangeRe…NonUnitalStarAlgHom.mem_range · cited by 0NonUnitalStarAlgHom.mem_r…NonUnitalRingHom.mem_srange_self · cited by 0NonUnitalRingHom.mem_sran…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringNonUnitalSubsemiring · cited by 201NonUnitalSubsemiringNonUnitalRingHomClass · cited by 82NonUnitalRingHomClassNonUnitalRingHom.srange · cited by 17NonUnitalRingHom.srangeNonUnitalRingHom.mem_srangeCITED BYCITES

Cites6

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Cited by4

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