Theorems · Definition · category theory
CategoryTheory.ihom
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → (A : C) → [CategoryTheory.Closed A] → CategoryTheory.Functor C CThis is the internal hom A ⟶[C] -.
- Cited by
- 179 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 6 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Closedstatement and proof · cited by 90
- CategoryTheory.Closed.rightAdjproof · cited by 1
Cited by230
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalClosed.uncurrystatement · cited by 46
- CategoryTheory.MonoidalClosed.currystatement · cited by 44
- CategoryTheory.ihom.evstatement · cited by 38
- CategoryTheory.MonoidalClosed.prestatement · cited by 34
- CategoryTheory.ihom.adjunctionstatement · cited by 31
- CategoryTheory.MonoidalClosed.internalHomproof · cited by 23
- CategoryTheory.ihom.coevstatement · cited by 19
- CategoryTheory.MonoidalClosed.curry'statement · cited by 14
- CategoryTheory.MonoidalCategory.DayConvolutionInternalHom.πstatement · cited by 14
- CategoryTheory.MonoidalClosed.compstatement · cited by 13
- CategoryTheory.MonoidalClosed.uncurry_injectivestatement · cited by 11
- CategoryTheory.MonoidalClosed.uncurry_eqstatement and proof · cited by 9
Showing the 200 most cited of 230.