Theorems · Definition · category theory
CategoryTheory.ActionCategory.back
{M : Type u_1} → [inst : Monoid M] → {X : Type u} → [inst_1 : MulAction M X] → CategoryTheory.ActionCategory M X → XThe canonical map ActionCategory M X → X. It is given by fun x => x.snd, but
has a more explicit type.
- Defined in
- Mathlib.CategoryTheory.Action
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- MulActionstatement and proof · cited by 1,294
- CategoryTheory.ActionCategorystatement and proof · cited by 12
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.ActionCategory.curryproof · cited by 2
- CategoryTheory.ActionCategory.uncurryproof · cited by 2
- CategoryTheory.ActionCategory.back_coestatement and proof · cited by 0
- CategoryTheory.ActionCategory.casesproof · cited by 0
- CategoryTheory.ActionCategory.coe_backstatement · cited by 0
- CategoryTheory.ActionCategory.hom_as_subtypestatement · cited by 0
- CategoryTheory.ActionCategory.objEquivproof · cited by 0
- CategoryTheory.ActionCategory.uncurry_mapstatement · cited by 0