Theorems · Theorem · category theory
CategoryTheory.Limits.hasFiniteWidePushouts_opposite_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C],
CategoryTheory.Limits.HasFiniteWidePushouts Cᵒᵖ ↔ CategoryTheory.Limits.HasFiniteWidePullbacks C- Defined in
- Mathlib.CategoryTheory.Limits.Opposites
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites9
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
- Oppositestatement and proof · cited by 8,081
- Finiteproof · cited by 3,029
- CategoryTheory.Equivalence.symmproof · cited by 195
- CategoryTheory.Limits.hasColimitsOfShape_of_equivalenceproof · cited by 22
- CategoryTheory.Limits.widePullbackShapeOpEquivproof · cited by 6
- CategoryTheory.Limits.HasFiniteWidePullbacksstatement and proof · cited by 6
- CategoryTheory.Limits.HasFiniteWidePushoutsstatement and proof · cited by 3
- CategoryTheory.Limits.hasColimitsOfShape_opposite_opposite_iffproof · cited by 2
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