Theorems · Theorem · commutative algebra
CommRingCat.pushoutCocone_pt
∀ (R A B : Type u) [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : CommRing B] [inst_3 : Algebra R A] [inst_4 : Algebra R B], (CommRingCat.pushoutCocone R A B).pt = CommRingCat.of (TensorProduct R A B)
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- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Algebrastatement and proof · cited by 11,388
- Algebra.algebraMapstatement · cited by 4,706
- TensorProductstatement · cited by 2,545
- CommRingCatstatement · cited by 2,333
- CategoryTheory.Limits.Cocone.ptstatement · cited by 1,354
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Limits.WalkingSpanstatement · cited by 300
- CategoryTheory.Limits.spanstatement · cited by 294
- CommRingCat.ofHomstatement · cited by 259
- CommRingCat.pushoutCoconestatement · cited by 9
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