Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.IsInvertedBy.iff_map_le_isomorphisms

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} D]
  (W : CategoryTheory.MorphismProperty C) (F : CategoryTheory.Functor C D),
  W.IsInvertedBy F ↔ W.map F ≤ CategoryTheory.MorphismProperty.isomorphisms D

Defined in

Mathlib.CategoryTheory.MorphismProperty.IsInvertedBy

Cited by

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Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category