Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.transfiniteCompositions_le_iff
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P Q : CategoryTheory.MorphismProperty C}
[Q.IsStableUnderTransfiniteComposition],
CategoryTheory.MorphismProperty.transfiniteCompositions.{w, v, u} P ≤ Q ↔ P ≤ Q- Cited by
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- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- LE.le.transproof · cited by 3,151
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.transfiniteCompositionsstatement · cited by 14
- CategoryTheory.MorphismProperty.IsStableUnderTransfiniteCompositionstatement and proof · cited by 6
- CategoryTheory.MorphismProperty.transfiniteCompositions_monotoneproof · cited by 2
- CategoryTheory.MorphismProperty.le_transfiniteCompositionsproof · cited by 1
- CategoryTheory.MorphismProperty.transfiniteCompositions_leproof · cited by 1
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