Theorems · Definition · category theory
CategoryTheory.Limits.prod.leftUnitor
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Limits.HasTerminal C] →
(P : C) → [inst_2 : CategoryTheory.Limits.HasBinaryProduct (⊤_ C) P] → (⊤_ C) ⨯ P ≅ PThe left unitor isomorphism for binary products with the terminal object.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Limits.prodstatement · cited by 364
- CategoryTheory.Limits.prod.sndproof · cited by 185
- CategoryTheory.Limits.HasBinaryProductstatement and proof · cited by 169
- CategoryTheory.Limits.HasTerminalstatement and proof · cited by 142
- CategoryTheory.Limits.terminalstatement and proof · cited by 141
- CategoryTheory.Limits.prod.liftproof · cited by 123
- CategoryTheory.Limits.terminal.fromproof · cited by 77
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Dial.leftUnitorImplproof · cited by 4
- CategoryTheory.Limits.prod.leftUnitor_hom_naturalitystatement · cited by 2
- CategoryTheory.Limits.prod.leftUnitor_homstatement and proof · cited by 1
- CategoryTheory.Limits.prod.leftUnitor_inv_naturalitystatement and proof · cited by 1
- CategoryTheory.Limits.prod.leftUnitor_hom_naturality_assocstatement and proof · cited by 0
- CategoryTheory.Limits.prod.leftUnitor_invstatement and proof · cited by 0
- CategoryTheory.Limits.prod.leftUnitor_inv_naturality_assocstatement and proof · cited by 0
- CategoryTheory.Limits.prod.trianglestatement · cited by 0