Theorems · Theorem · group theory
Finset.coe_pow
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Monoid α] (s : Finset α) (n : ℕ), ↑(s ^ n) = ↑s ^ n- Cited by
- 4 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- pow_zeroproof · cited by 1,094
- pow_succproof · cited by 374
- Set.NPowstatement · cited by 51
- Finset.npowstatement · cited by 30
- Finset.coe_mulproof · cited by 18
- Finset.coe_oneproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- Finset.monoidproof · cited by 20
- Finset.mem_powproof · cited by 0
- Finset.coe_zpowproof · cited by 0
- Finset.univ_powproof · cited by 0
- Finset.card_pow_quotient_mul_pow_inter_subgroup_leproof · cited by 0