Theorems · Definition · category theory
CommAlgCat.binaryCofan
{R : Type u} → [inst : CommRing R] → (A B : CommAlgCat R) → CategoryTheory.Limits.BinaryCofan A BThe explicit cocone with tensor products as the fibered coproduct in CommAlgCat.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebra.TensorProduct.includeRightproof · cited by 165
- CommAlgCatstatement and proof · cited by 96
- CategoryTheory.Limits.BinaryCofan.mkproof · cited by 83
- Algebra.TensorProduct.includeLeftproof · cited by 72
- CategoryTheory.Limits.BinaryCofanstatement · cited by 58
- CommAlgCat.ofHomproof · cited by 24
Cited by4
Results whose statement or proof uses this declaration.
- CommAlgCat.binaryCofan_ptstatement · cited by 0
- CommAlgCat.binaryCofanIsColimitstatement and proof · cited by 0
- CommAlgCat.binaryCofan_inlstatement · cited by 0
- CommAlgCat.binaryCofan_inrstatement · cited by 0