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Theorems · Theorem · ring theory

NonUnitalRingHom.mem_range

∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S] {f : R →ₙ+* S} {y : S},
  y ∈ f.range ↔ ∃ x, f x = y
Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRing
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Around this declaration

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

NonUnitalRingHom.rangeRestrict_surjective · cited by 0NonUnitalRingHom.rangeRes…NonUnitalRingHom.mem_range_self · cited by 0NonUnitalRingHom.mem_rang…DFunLike.coe · cited by 62936DFunLike.coeNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalRingHom · cited by 157NonUnitalRingHomNonUnitalRingHom.range · cited by 12NonUnitalRingHom.rangeNonUnitalRingHom.mem_rangeCITED BYCITES

Cites5

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Cited by2

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