Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.strictMap_iSup

∀ {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) {ι : Type u_3} (P : ι → CategoryTheory.MorphismProperty C),
  (⨆ i, P i).strictMap F = ⨆ i, (P i).strictMap F

Defined in: Mathlib.CategoryTheory.MorphismProperty.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
iSupstatement · cited by 2,415
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
GaloisConnection.l_iSupproof · cited by 78
CategoryTheory.MorphismProperty.strictMapstatement · cited by 23
CategoryTheory.MorphismProperty.gc_strictMapproof · cited by 12

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