Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.hasPushoutsAgainst_top_iff
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.MorphismProperty C),
P.HasPushoutsAgainst ⊤ ↔ P.HasPushouts- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites7
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.Homproof · cited by 32,603
- Top.topstatement and proof · cited by 9,680
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.HasPushoutsstatement and proof · cited by 3
- CategoryTheory.MorphismProperty.HasPushoutsAgainststatement and proof · cited by 3
- CategoryTheory.MorphismProperty.HasPushoutsAlong.hasPushoutproof · cited by 2
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