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Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.not_le_iff_exists

∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] {P Q : CategoryTheory.ObjectProperty C},
  ¬P ≤ Q ↔ ∃ X, P X ∧ ¬Q X
Defined in
Mathlib.CategoryTheory.ObjectProperty.Basic
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryStruct
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CategoryTheory.ObjectProperty.nonempty_of_lt · cited by 0ObjectProperty.nonempty_o…CategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…ObjectProperty.not_le_iff_exi…CITED BYCITES

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