Mathlib Map

Theorems · Theorem · ring theory

NonUnitalSubring.gc_map_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] (f : F),
  GaloisConnection (NonUnitalSubring.map f) (NonUnitalSubring.comap f)
Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
7 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRingFunLikeNonUnitalRingHomClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

NonUnitalSubring.comap_top · cited by 1NonUnitalSubring.comap_topNonUnitalSubring.map_bot · cited by 0NonUnitalSubring.map_botNonUnitalSubring.map_iSup · cited by 0NonUnitalSubring.map_iSupNonUnitalRingHom.map_closure · cited by 0NonUnitalRingHom.map_clos…NonUnitalSubring.map_sup · cited by 0NonUnitalSubring.map_supNonUnitalSubring.comap_iInf · cited by 0NonUnitalSubring.comap_iI…NonUnitalSubring.comap_inf · cited by 0NonUnitalSubring.comap_infFunLike · cited by 2560FunLikeNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingGaloisConnection · cited by 253GaloisConnectionNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalRingHomClass · cited by 82NonUnitalRingHomClassNonUnitalSubring.map · cited by 19NonUnitalSubring.mapNonUnitalSubring.comap · cited by 15NonUnitalSubring.comapNonUnitalSubring.map_le_iff_le_comap · cited by 1NonUnitalSubring.map_le_i…NonUnitalSubring.gc_map_comapCITED BYCITES

Cites8

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

Cited by7

Results whose statement or proof uses this declaration.