Theorems · Definition · category theory
CategoryTheory.ActionCategory.objEquiv
(M : Type u_1) → [inst : Monoid M] → (X : Type u) → [inst_1 : MulAction M X] → X ≃ CategoryTheory.ActionCategory M X
An object of the action category given by M ↻ X corresponds to an element of X.
- Defined in
- Mathlib.CategoryTheory.Action
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- MulActionstatement and proof · cited by 1,294
- CategoryTheory.ActionCategorystatement and proof · cited by 12
- CategoryTheory.ActionCategory.backproof · cited by 4
- CategoryTheory.ActionCategory.back_coeproof · cited by 0
- CategoryTheory.ActionCategory.coe_backproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ActionCategory.endMulEquivSubgroupstatement · cited by 0