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Theorems · Theorem · order theory

CoheytingHom.ext

∀ {α : Type u_2} {β : Type u_3} [inst : CoheytingAlgebra α] [inst_1 : CoheytingAlgebra β] {f g : CoheytingHom α β},
  (∀ (a : α), f a = g a) → f = g
Defined in
Mathlib.Order.Heyting.Hom
Cited by
5 results in Mathlib
Foundations
Depth 9 from the axioms · uses Quot.sound
Assumes
CoheytingAlgebraCoheytingAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CoheytingHom.cancel_right · cited by 0CoheytingHom.cancel_rightCoheytingHom.comp_id · cited by 0CoheytingHom.comp_idCoheytingHom.ext_iff · cited by 0CoheytingHom.ext_iffCoheytingHom.cancel_left · cited by 0CoheytingHom.cancel_leftCoheytingHom.id_comp · cited by 0CoheytingHom.id_compDFunLike.coe · cited by 62936DFunLike.coeDFunLike.ext · cited by 240DFunLike.extCoheytingAlgebra · cited by 96CoheytingAlgebraCoheytingHom · cited by 20CoheytingHomCoheytingHom.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.