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Theorems · Theorem · category theory

Preord.hom_ext

∀ {X Y : Preord} {f g : X ⟶ Y}, Preord.Hom.hom f = Preord.Hom.hom g → f = g
Defined in
Mathlib.Order.Category.Preord
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses no axioms
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Around this declaration

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

Preord.hom_ext_iff · cited by 0Preord.hom_ext_iffQuiver.Hom · cited by 32603Quiver.HomOrderHom · cited by 934OrderHomPreord · cited by 42PreordPreord.carrier · cited by 35Preord.carrierPreord.Hom.hom · cited by 13Hom.homPreord.Hom.ext · cited by 2Hom.extPreord.hom_extCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.