Theorems · Definition · category theory
CategoryTheory.ObjectProperty.binaryProductsClosure
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] → CategoryTheory.ObjectProperty C → CategoryTheory.ObjectProperty CAll objects that are binary products of objects in P.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
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.Discreteproof · cited by 2,447
- CategoryTheory.Limits.WalkingPairproof · cited by 1,319
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.ObjectProperty.limitClosureproof · cited by 0
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.triangEnvelopeIterproof · cited by 12
- CategoryTheory.ObjectProperty.binaryProductsClosure_le_iffstatement and proof · cited by 1
- CategoryTheory.ObjectProperty.monotone'_triangEnvelopeIterproof · cited by 1
- CategoryTheory.ObjectProperty.triangEnvelopeIter_zerostatement and proof · cited by 1
- CategoryTheory.ObjectProperty.le_triangEnvelopeIterproof · cited by 1
- CategoryTheory.ObjectProperty.triangEnvelopeIter_addproof · cited by 0
- CategoryTheory.ObjectProperty.triangEnvelopeIter_add'proof · cited by 0
- CategoryTheory.ObjectProperty.triangEnvelopeIter_succstatement and proof · cited by 0
- CategoryTheory.ObjectProperty.triangEnvelopeIter_succ'statement and proof · cited by 0
- CategoryTheory.ObjectProperty.triangEnvelope_le_iffproof · cited by 0