Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.EssentiallySmall.exists_small
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C)
[P.IsClosedUnderIsomorphisms] [CategoryTheory.ObjectProperty.EssentiallySmall.{w, v, u} P],
∃ P₀, ∃ (_ : CategoryTheory.ObjectProperty.Small.{w, v, u} P₀), P = P₀.isoClosure- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- le_antisymmproof · cited by 2,068
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.ObjectProperty.IsClosedUnderIsomorphismsstatement and proof · cited by 68
- CategoryTheory.ObjectProperty.isoClosurestatement and proof · cited by 61
- CategoryTheory.ObjectProperty.Smallstatement and proof · cited by 30
- CategoryTheory.ObjectProperty.EssentiallySmallstatement and proof · cited by 26
- CategoryTheory.ObjectProperty.isoClosure_le_iffproof · cited by 8
- CategoryTheory.ObjectProperty.EssentiallySmall.exists_small_leproof · cited by 7
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