Theorems · Theorem · category theory
CategoryTheory.IsPullback.of_hasBinaryBiproduct
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] (X Y : C) [inst_3 : CategoryTheory.Limits.HasBinaryBiproduct X Y],
CategoryTheory.IsPullback 0 0 CategoryTheory.Limits.biprod.inl CategoryTheory.Limits.biprod.inr- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- CategoryTheory.IsPullbackstatement · cited by 320
- CategoryTheory.Limits.biprodstatement · cited by 312
- CategoryTheory.Limits.HasBinaryBiproductstatement and proof · cited by 251
- CategoryTheory.Limits.biprod.inlstatement · cited by 127
- CategoryTheory.Limits.HasZeroObject.zero'statement · cited by 115
- CategoryTheory.Limits.biprod.inrstatement · cited by 109
- CategoryTheory.Limits.BinaryBiproduct.isBilimitproof · cited by 13
- CategoryTheory.IsPullback.of_is_bilimit'proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.IsPullback.pullbackBiprodInlBiprodInrproof · cited by 0