Theorems · Definition · group theory
Set.addActionSet
{α : Type u_2} → {β : Type u_3} → [inst : AddMonoid α] → [AddAction α β] → AddAction α (Set β)An additive action of an additive monoid on a type β gives an additive action on Set β.
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 11 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.
Cited by39
Results whose statement or proof uses this declaration.
- AddAction.mem_stabilizer_setstatement · cited by 5
- AddAction.stabilizer_coe_finsetstatement · cited by 4
- AddAction.stabilizer_inf_stabilizer_le_stabilizer_apply₂statement · cited by 3
- AddAction.stabilizer_add_selfstatement · cited by 2
- AddAction.movedBy_mem_fixedBy_of_addCommutestatement · cited by 2
- AddAction.fixedBy_mem_fixedBy_of_addCommutestatement · cited by 2
- AddAction.set_mem_fixedBy_iffstatement · cited by 1
- AddAction.set_mem_fixedBy_of_movedBy_subsetstatement · cited by 1
- AddAction.stabilizer_inf_stabilizer_le_stabilizer_sdiffstatement · cited by 1
- AddAction.stabilizer_inf_stabilizer_le_stabilizer_unionstatement · cited by 1
- AddAction.IsBlock.ncard_block_eq_relIndexstatement · cited by 1
- AddAction.stabilizer_subset_sub_rightstatement · cited by 1