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Theorems · Theorem · category theory

CategoryTheory.Limits.IsTerminal.from_self

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X : C} (t : CategoryTheory.Limits.IsTerminal X),
  t.from X = CategoryTheory.CategoryStruct.id X
Defined in
Mathlib.CategoryTheory.Limits.Shapes.IsTerminal
Cited by
9 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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Around this declaration

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CategoryTheory.CartesianMonoidalCategory.rightUnitor_inv_fst · cited by 6CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.leftUnitor_inv_snd · cited by 5CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.rightUnitor_hom · cited by 1CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.leftUnitor_hom · cited by 1CartesianMonoidalCategory…CategoryTheory.Limits.isIso_of_isTerminal · cited by 1Limits.isIso_of_isTerminalCategoryTheory.Limits.isIso_ι_of_isTerminal · cited by 0Limits.isIso_ι_of_isTermi…CategoryTheory.Limits.isIso_π_of_isTerminal · cited by 0Limits.isIso_π_of_isTermi…SkyscraperPresheafFunctor.map'_id · cited by 0SkyscraperPresheafFunctor…CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.section_app_op_mk_zero · cited by 0ExtraDegeneracy.section_a…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Limits.IsTerminal.from · cited by 160IsTerminal.fromCategoryTheory.Limits.IsTerminal · cited by 153Limits.IsTerminalCategoryTheory.Limits.IsTerminal.hom_ext · cited by 29IsTerminal.hom_extIsTerminal.from_selfCITED BYCITES

Cites6

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Cited by9

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