Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.hasCardinalLT_subtype_ofObj
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {ι : Type u_1} (X : ι → C) {κ : Cardinal.{w}},
HasCardinalLT ι κ → (CategoryTheory.ObjectProperty.ofObj X).HasCardinalLT κ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 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
- Cardinalstatement and proof · cited by 2,598
- HasCardinalLTstatement and proof · cited by 99
- CategoryTheory.ObjectProperty.ofObjstatement and proof · cited by 37
- CategoryTheory.ObjectProperty.ofObj.casesOnproof · cited by 11
- CategoryTheory.ObjectProperty.HasCardinalLTstatement · cited by 8
- HasCardinalLT.of_surjectiveproof · cited by 7
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