Theorems · Theorem · category theory
CategoryTheory.Subobject.inf_arrow_factors_left
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C] {B : C}
(X Y : CategoryTheory.Subobject B), X.Factors (X ⊓ Y).arrow- Defined in
- Mathlib.CategoryTheory.Subobject.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Limits.HasPullbacksstatement and proof · cited by 439
- CategoryTheory.Subobjectstatement and proof · cited by 385
- CategoryTheory.Subobject.underlyingstatement · cited by 211
- CategoryTheory.Subobject.arrowstatement and proof · cited by 175
- CategoryTheory.Subobject.Factorsstatement · cited by 56
- CategoryTheory.Subobject.ofLEproof · cited by 38
- CategoryTheory.Subobject.ofLE_arrowproof · cited by 23
- CategoryTheory.Subobject.factors_iffproof · cited by 12
- CategoryTheory.Subobject.inf_le_leftproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Subobject.finset_inf_arrow_factorsproof · cited by 2