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Theorems · Theorem · ring theory

NonUnitalRingHom.coe_range

∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S] (f : R →ₙ+* S),
  ↑f.range = Set.range ⇑f
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.range_eq_top · cited by 1NonUnitalRingHom.range_eq…NonUnitalSubring.coe_bot · cited by 1NonUnitalSubring.coe_botDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeSet.range · cited by 4705Set.rangeNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalRingHom · cited by 157NonUnitalRingHomNonUnitalRingHom.range · cited by 12NonUnitalRingHom.rangeNonUnitalRingHom.coe_rangeCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.