Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.nonempty_of_lt
∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] {P Q : CategoryTheory.ObjectProperty C},
P < Q → Q.Nonempty- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.CategoryStructstatement and proof · cited by 343
- not_le_of_gtproof · cited by 97
- CategoryTheory.ObjectProperty.Nonemptystatement · cited by 13
- CategoryTheory.ObjectProperty.nonempty_of_propproof · cited by 5
- CategoryTheory.ObjectProperty.not_le_iff_existsproof · cited by 1
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