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Theorems · Inductive type · category theory

AlexDisc

Type (u_1 + 1)

The category of Alexandrov-discrete spaces.

Defined in
Mathlib.Topology.Order.Category.AlexDisc
Cited by
13 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AlexDisc.toTopCat · cited by 11AlexDisc.toTopCatalexDiscEquivPreord · cited by 6alexDiscEquivPreordAlexDisc.of · cited by 5AlexDisc.ofAlexDisc.Iso.mk · cited by 3Iso.mkAlexDisc.mk.inj · cited by 1mk.injAlexDisc.mk.noConfusion · cited by 1mk.noConfusionalexDiscEquivPreord_counitIso · cited by 0alexDiscEquivPreord_couni…alexDiscEquivPreord_functor · cited by 0alexDiscEquivPreord_funct…alexDiscEquivPreord_inverse_map · cited by 0alexDiscEquivPreord_inver…alexDiscEquivPreord_inverse_obj_carrier · cited by 0alexDiscEquivPreord_inver…alexDiscEquivPreord_inverse_obj_str · cited by 0alexDiscEquivPreord_inver…alexDiscEquivPreord_unitIso · cited by 0alexDiscEquivPreord_unitI…AlexDisc.mk.injEq · cited by 0mk.injEqAlexDisc.mk.sizeOf_spec · cited by 0mk.sizeOf_specAlexDisc.casesOn · cited by 0AlexDisc.casesOnAlexDiscCITED BYCITES

Cites0

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

Nothing in Mathlib beyond the foundations.

Cited by23

Results whose statement or proof uses this declaration.