Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.inverseImage_sInf
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
(F : CategoryTheory.Functor C D) (P : Set (CategoryTheory.MorphismProperty D)),
(sInf P).inverseImage F = ⨅ P' ∈ P, P'.inverseImage F- Cited by
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- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement and proof · cited by 53,352
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- iInfstatement · cited by 1,690
- InfSet.sInfstatement · cited by 935
- CategoryTheory.MorphismProperty.inverseImagestatement · cited by 83
- CategoryTheory.MorphismProperty.gc_strictMapproof · cited by 12
- GaloisConnection.u_sInfproof · cited by 11
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