Theorems · Definition · group theory
Finset.addActionFinset
{α : Type u_2} → {β : Type u_3} → [DecidableEq β] → [inst : AddMonoid α] → [AddAction α β] → AddAction α (Finset β)An additive action of an additive monoid on a type β gives an additive action
on Finset β.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- SetLike.coeproof · cited by 8,199
- AddMonoidstatement and proof · cited by 2,864
- AddActionstatement and proof · cited by 820
- Finset.coe_injectiveproof · cited by 127
- Function.Injective.addActionproof · cited by 0
Cited by10
Results whose statement or proof uses this declaration.
- AddAction.stabilizer_coe_finsetstatement · cited by 4
- AddAction.mem_stabilizer_finset_iff_subset_vadd_finsetstatement · cited by 2
- AddAction.mem_stabilizer_finset'statement · cited by 1
- AddAction.mem_stabilizer_finset_iff_vadd_finset_subsetstatement · cited by 1
- AddAction.stabilizer_finset_emptystatement · cited by 0
- AddAction.stabilizer_finset_singletonstatement · cited by 0
- AddAction.stabilizer_finset_univstatement · cited by 0
- Finset.vadd_stabilizer_of_no_doublingstatement · cited by 0
- Finset.op_vadd_stabilizer_of_no_doublingstatement · cited by 0
- AddAction.mem_stabilizer_finsetstatement · cited by 0