Theorems · Theorem · category theory
CategoryTheory.CartesianMonoidalCategory.whiskerRight_snd
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {X Y : C}
(f : X ⟶ Y) (Z : C),
CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Z)
(CategoryTheory.SemiCartesianMonoidalCategory.snd Y Z) =
CategoryTheory.SemiCartesianMonoidalCategory.snd X Z- Cited by
- 16 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonoidalCategoryStruct.whiskerRightstatement and proof · cited by 903
- CategoryTheory.MonoidalCategoryStruct.leftUnitorproof · cited by 437
- CategoryTheory.SemiCartesianMonoidalCategory.sndstatement · cited by 181
- CategoryTheory.Limits.IsTerminal.fromproof · cited by 160
- CategoryTheory.SemiCartesianMonoidalCategory.isTerminalTensorUnitproof · cited by 30
- CategoryTheory.Limits.IsTerminal.comp_fromproof · cited by 13
Cited by16
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.OplaxMonoidal.δ_sndproof · cited by 7
- CategoryTheory.CartesianMonoidalCategory.lift_whiskerRightproof · cited by 6
- CategoryTheory.GrpObj.η_whiskerRight_commutatorproof · cited by 2
- CategoryTheory.CartesianMonoidalCategory.whiskerRight_snd_assocproof · cited by 2
- CategoryTheory.AddGrpObj.η_whiskerRight_addCommutatorproof · cited by 1
- CategoryTheory.AddGrpObj.isPullbackproof · cited by 1
- CategoryTheory.GrpObj.isPullbackproof · cited by 1
- CategoryTheory.CartesianMonoidalCategory.tensorδ_sndproof · cited by 1
- CategoryTheory.CartesianMonoidalCategory.tensorμ_sndproof · cited by 1
- CategoryTheory.add_mul_iffproof · cited by 1
- CategoryTheory.ChosenPullbacksAlong.Over.whiskerRight_left_sndproof · cited by 1