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Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.prop_arbitrary

∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] (P : CategoryTheory.ObjectProperty C)
  [inst_1 : P.Nonempty], P P.arbitrary
Defined in
Mathlib.CategoryTheory.ObjectProperty.Basic
Cited by
2 results in Mathlib
Foundations
Depth 10 from the axioms · uses Classical.choice
Assumes
CategoryTheory.CategoryStructCategoryTheory.ObjectProperty.Nonempty
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.ObjectProperty.nonempty_iSup · cited by 0ObjectProperty.nonempty_i…CategoryTheory.ObjectProperty.Nonempty.mono · cited by 0Nonempty.monoCategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…CategoryTheory.ObjectProperty.Nonempty · cited by 13ObjectProperty.NonemptyCategoryTheory.ObjectProperty.arbitrary · cited by 3ObjectProperty.arbitraryCategoryTheory.ObjectProperty.exists_prop_of_nonempty · cited by 1ObjectProperty.exists_pro…ObjectProperty.prop_arbitraryCITED BYCITES

Cites5

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Cited by2

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