Theorems · Theorem · category theory
CategoryTheory.Limits.BinaryFan.isLimit_iff_isIso_snd
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (h : CategoryTheory.Limits.IsTerminal X)
(c : CategoryTheory.Limits.BinaryFan X Y), Nonempty (CategoryTheory.Limits.IsLimit c) ↔ CategoryTheory.IsIso c.snd- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites21
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Discretestatement · cited by 2,447
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- CategoryTheory.Limits.Cone.ptstatement · cited by 1,298
- CategoryTheory.Functor.conststatement · cited by 1,264
- CategoryTheory.IsIsostatement · cited by 1,156
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Limits.IsLimitstatement and proof · cited by 664
- CategoryTheory.Limits.pairstatement · cited by 536
- Nonempty.someproof · cited by 340
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