Mathlib Map

Theorems · Theorem · ring theory

NonUnitalSubring.coe_comap

∀ {F : Type w} {R : Type u} {S : Type v} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S]
  [inst_2 : FunLike F R S] [inst_3 : NonUnitalRingHomClass F R S] (s : NonUnitalSubring S) (f : F),
  ↑(NonUnitalSubring.comap f s) = ⇑f ⁻¹' ↑s
Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
0 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRingFunLikeNonUnitalRingHomClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeSet.preimage · cited by 4946Set.preimageFunLike · cited by 2560FunLikeNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalRingHomClass · cited by 82NonUnitalRingHomClassNonUnitalSubring.comap · cited by 15NonUnitalSubring.comapNonUnitalSubring.coe_comapCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.