Theorems · Theorem · category theory
CategoryTheory.WithTerminal.coneEquiv_inverse_obj_pt_left
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {J : Type w} [inst_1 : CategoryTheory.Category.{w', w} J]
{X : C} {K : CategoryTheory.Functor J (CategoryTheory.Over X)}
(t : CategoryTheory.Limits.Cone (CategoryTheory.WithTerminal.liftFromOver.obj K)),
(CategoryTheory.WithTerminal.coneEquiv.inverse.obj t).pt.left = t.pt- Defined in
- Mathlib.CategoryTheory.WithTerminal.Cone
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- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.Functor.objstatement and proof · cited by 19,642
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- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Limits.Cone.ptstatement and proof · cited by 1,298
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- CategoryTheory.Overstatement and proof · cited by 935
- CategoryTheory.Comma.leftstatement and proof · cited by 886
- CategoryTheory.Functor.fromPUnitstatement · cited by 769
- CategoryTheory.Limits.Conestatement and proof · cited by 710
- CategoryTheory.WithTerminalstatement · cited by 115
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