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Theorems · Theorem · order theory

CompleteLatticeHom.ext

∀ {α : Type u_2} {β : Type u_3} [inst : CompleteLattice α] [inst_1 : CompleteLattice β] {f g : CompleteLatticeHom α β},
  (∀ (a : α), f a = g a) → f = g
Defined in
Mathlib.Order.Hom.CompleteLattice
Cited by
5 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.

CompleteLatticeHom.cancel_left · cited by 0CompleteLatticeHom.cancel…CompleteLatticeHom.cancel_right · cited by 0CompleteLatticeHom.cancel…CompleteLatticeHom.ext_iff · cited by 0CompleteLatticeHom.ext_iffCompleteLatticeHom.id_comp · cited by 0CompleteLatticeHom.id_compCompleteLatticeHom.comp_id · cited by 0CompleteLatticeHom.comp_idDFunLike.coe · cited by 62936DFunLike.coeCompleteLattice · cited by 1048CompleteLatticeDFunLike.ext · cited by 240DFunLike.extCompleteLatticeHom · cited by 50CompleteLatticeHomCompleteLatticeHom.extCITED BYCITES

Cites4

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

Cited by5

Results whose statement or proof uses this declaration.