Theorems · Theorem · category theory
CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiForkOfIsLimit_inverse
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.Limits.MulticospanShape}
(I : CategoryTheory.Limits.MulticospanIndex J C) {c : CategoryTheory.Limits.Fan I.left}
(hc : CategoryTheory.Limits.IsLimit c) {d : CategoryTheory.Limits.Fan I.right} (hd : CategoryTheory.Limits.IsLimit d),
(I.multiforkEquivPiForkOfIsLimit hc hd).inverse = I.ofPiForkFunctor hd- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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.Discretestatement · cited by 2,447
- CategoryTheory.Limits.Cone.ptstatement · cited by 1,298
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- CategoryTheory.Limits.WalkingParallelPairstatement · cited by 781
- CategoryTheory.Limits.parallelPairstatement · cited by 766
- CategoryTheory.Limits.IsLimitstatement and proof · cited by 664
- CategoryTheory.Discrete.functorstatement · cited by 633
- CategoryTheory.Limits.WalkingMulticospanstatement · cited by 199
- CategoryTheory.Limits.MulticospanIndex.multicospanstatement · cited by 167
- CategoryTheory.Limits.MulticospanShapestatement and proof · cited by 160
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.