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Theorems · Theorem · category theory

TopCat.Hom.ext

∀ {X Y : TopCat} {x y : X.Hom Y}, x.hom' = y.hom' → x = y
Defined in
Mathlib.Topology.Category.TopCat.Basic
Cited by
2 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
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Around this declaration

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

TopCat.hom_ext · cited by 1TopCat.hom_extTopCat.Hom.ext_iff · cited by 0Hom.ext_iffTopCat.carrier · cited by 3184TopCat.carrierContinuousMap · cited by 2491ContinuousMapTopCat · cited by 1889TopCatTopCat.Hom.hom' · cited by 20Hom.hom'TopCat.Hom · cited by 3TopCat.HomHom.extCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.