Theorems · Definition · group theory
Finset.mulActionFinset
{α : Type u_2} → {β : Type u_3} → [DecidableEq β] → [inst : Monoid α] → [MulAction α β] → MulAction α (Finset β)A multiplicative action of a monoid on a type β gives a multiplicative action on Finset β.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqMonoidMulAction
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
- Monoidstatement and proof · cited by 3,887
- MulActionstatement and proof · cited by 1,294
- Finset.coe_injectiveproof · cited by 127
- Function.Injective.mulActionproof · cited by 0
Cited by10
Results whose statement or proof uses this declaration.
- MulAction.stabilizer_coe_finsetstatement · cited by 4
- MulAction.mem_stabilizer_finset_iff_subset_smul_finsetstatement · cited by 2
- MulAction.mem_stabilizer_finset'statement · cited by 1
- MulAction.mem_stabilizer_finset_iff_smul_finset_subsetstatement · cited by 1
- Finset.smul_stabilizer_of_no_doublingstatement · cited by 0
- Finset.op_smul_stabilizer_of_no_doublingstatement · cited by 0
- MulAction.stabilizer_finset_emptystatement · cited by 0
- MulAction.stabilizer_finset_singletonstatement · cited by 0
- MulAction.stabilizer_finset_univstatement · cited by 0
- MulAction.mem_stabilizer_finsetstatement · cited by 0