Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.inverseImage_op_overObj
∀ {T : Type u_3} [inst : CategoryTheory.Category.{v_3, u_3} T] (W : CategoryTheory.MorphismProperty T) {X : T},
W.overObj.op.inverseImage (CategoryTheory.Under.opEquivOpOver X).functor = W.op.underObj- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Oppositestatement · cited by 8,081
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.ObjectPropertystatement · cited by 798
- CategoryTheory.Understatement · cited by 276
- CategoryTheory.MorphismProperty.opstatement · cited by 71
- CategoryTheory.ObjectProperty.opstatement · cited by 42
- CategoryTheory.ObjectProperty.inverseImagestatement · cited by 19
- CategoryTheory.MorphismProperty.underObjstatement · cited by 10
- CategoryTheory.Under.opEquivOpOverstatement · cited by 7
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