Mathlib Map

Theorems · Inductive type · category theory

CategoryTheory.WithTerminal

Type u → Type u

Formally adjoin a terminal object to a category.

Defined in
Mathlib.CategoryTheory.WithTerminal.Basic
Cited by
115 results in Mathlib
Foundations
Depth 0 from the axioms, rests on 1 definitions · uses no axioms
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Around this declaration

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

CategoryTheory.WithTerminal.incl · cited by 31WithTerminal.inclCategoryTheory.WithTerminal.equivComma · cited by 26WithTerminal.equivCommaCategoryTheory.WithTerminal.down · cited by 22WithTerminal.downCategoryTheory.WithTerminal.liftFromOver · cited by 21WithTerminal.liftFromOverCategoryTheory.WithInitial.opEquiv · cited by 20WithInitial.opEquivCategoryTheory.WithTerminal.starTerminal · cited by 18WithTerminal.starTerminalCategoryTheory.WithTerminal.coneEquiv · cited by 16WithTerminal.coneEquivCategoryTheory.WithTerminal.mkCommaObject · cited by 14WithTerminal.mkCommaObjectCategoryTheory.WithTerminal.lift · cited by 13WithTerminal.liftCategoryTheory.WithTerminal.map · cited by 11WithTerminal.mapCategoryTheory.WithTerminal.ofCommaObject · cited by 11WithTerminal.ofCommaObjectCategoryTheory.WithTerminal.mkCommaMorphism · cited by 8WithTerminal.mkCommaMorph…CategoryTheory.WithTerminal.opEquiv · cited by 8WithTerminal.opEquivCategoryTheory.WithTerminal.ofCommaMorphism · cited by 7WithTerminal.ofCommaMorph…CategoryTheory.WithTerminal.liftToTerminal · cited by 6WithTerminal.liftToTermin…CategoryTheory.WithTerminalCITED BYCITES

Cites0

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Nothing in Mathlib beyond the foundations.

Cited by158

Results whose statement or proof uses this declaration.