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Theorems · Theorem · order theory

FrameHom.ext

∀ {α : Type u_2} {β : Type u_3} [inst : CompleteLattice α] [inst_1 : CompleteLattice β] {f g : FrameHom α β},
  (∀ (a : α), f a = g a) → f = g
Defined in
Mathlib.Order.Hom.CompleteLattice
Cited by
6 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
CompleteLatticeCompleteLattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FrameHom.ext_iff · cited by 0FrameHom.ext_iffFrameHom.comp_id · cited by 0FrameHom.comp_idFrameHom.cancel_left · cited by 0FrameHom.cancel_leftTopologicalSpace.Opens.comap_id · cited by 0Opens.comap_idFrameHom.id_comp · cited by 0FrameHom.id_compFrameHom.cancel_right · cited by 0FrameHom.cancel_rightDFunLike.coe · cited by 62936DFunLike.coeCompleteLattice · cited by 1048CompleteLatticeDFunLike.ext · cited by 240DFunLike.extFrameHom · cited by 70FrameHomFrameHom.extCITED BYCITES

Cites4

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

Cited by6

Results whose statement or proof uses this declaration.