Theorems · Theorem · category theory
CategoryTheory.Presieve.map_le_functorPushforward
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(F : CategoryTheory.Functor C D) {X : C} (S : CategoryTheory.Presieve X),
CategoryTheory.Presieve.map F S ≤ CategoryTheory.Presieve.functorPushforward F S- Defined in
- Mathlib.CategoryTheory.Sites.Sieves
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- le_reflproof · cited by 2,061
- le_imp_le_of_le_of_leproof · cited by 576
- CategoryTheory.Presievestatement and proof · cited by 449
- CategoryTheory.Presieve.mapstatement and proof · cited by 38
- CategoryTheory.Sieve.le_generateproof · cited by 20
- CategoryTheory.Presieve.functorPushforwardstatement · cited by 16
- CategoryTheory.Sieve.arrows_generate_map_eq_functorPushforwardproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Sieve.functorPushforward_overForget_arrowsproof · cited by 1