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Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.Nonempty.mono

∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] {P Q : CategoryTheory.ObjectProperty C} [P.Nonempty],
  P ≤ Q → Q.Nonempty
Defined in
Mathlib.CategoryTheory.ObjectProperty.Basic
Cited by
0 results in Mathlib
Foundations
Depth 11 from the axioms · uses Classical.choice
Assumes
CategoryTheory.CategoryStructCategoryTheory.ObjectProperty.Nonempty
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CategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…CategoryTheory.ObjectProperty.Nonempty · cited by 13ObjectProperty.NonemptyCategoryTheory.ObjectProperty.nonempty_of_prop · cited by 5ObjectProperty.nonempty_o…CategoryTheory.ObjectProperty.arbitrary · cited by 3ObjectProperty.arbitraryCategoryTheory.ObjectProperty.prop_arbitrary · cited by 2ObjectProperty.prop_arbit…Nonempty.monoCITED BYCITES

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