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Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.prop_of_is

∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] (P : CategoryTheory.ObjectProperty C) (X : C) [P.Is X],
  P X
Defined in
Mathlib.CategoryTheory.ObjectProperty.Basic
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses propext
Assumes
CategoryTheory.CategoryStructCategoryTheory.ObjectProperty.Is
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Around this declaration

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

CategoryTheory.InternallyProjective.ofRetract · cited by 0InternallyProjective.ofRe…CategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…CategoryTheory.ObjectProperty.is_iff · cited by 6ObjectProperty.is_iffCategoryTheory.ObjectProperty.Is · cited by 4ObjectProperty.IsObjectProperty.prop_of_isCITED BYCITES

Cites4

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Cited by1

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