Theorems · Theorem · category theory
CategoryTheory.Sum.functorEquiv_unitIso
∀ (A : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} A] (A' : Type u_2)
[inst_1 : CategoryTheory.Category.{v_2, u_2} A'] (B : Type u) [inst_2 : CategoryTheory.Category.{v, u} B],
(CategoryTheory.Sum.functorEquiv A A' B).unitIso = CategoryTheory.NatIso.ofComponents (fun F => F.isoSum) ⋯- Defined in
- Mathlib.CategoryTheory.Sums.Products
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Equivalence.unitIsostatement and proof · cited by 536
- CategoryTheory.Functor.whiskerLeftstatement · cited by 496
- CategoryTheory.NatIso.ofComponentsstatement · cited by 178
- CategoryTheory.Prod.mkHomstatement · cited by 108
- CategoryTheory.Sum.inl_statement · cited by 63
- CategoryTheory.Sum.inr_statement · cited by 63
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Sum.natIsoOfWhiskerLeftInlInr_eqproof · cited by 0