Theorems · Theorem · category theory
CategoryTheory.underEquivOfIsTerminal_inverse
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Limits.HasStrictTerminalObjects C] (X : C) (h : CategoryTheory.Limits.IsTerminal X),
(CategoryTheory.underEquivOfIsTerminal.{w, v_1, u_1} X h).inverse =
CategoryTheory.Functor.fromPUnit (CategoryTheory.Under.mk (CategoryTheory.CategoryStruct.id X))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- CategoryTheory.Functor.fromPUnitstatement · cited by 769
- CategoryTheory.Understatement · cited by 276
- CategoryTheory.Limits.IsTerminalstatement and proof · cited by 153
- CategoryTheory.Under.mkstatement · cited by 65
- CategoryTheory.Limits.HasStrictTerminalObjectsstatement and proof · cited by 17
- CategoryTheory.underEquivOfIsTerminalstatement and proof · cited by 4
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