Theorems · Definition · number theory
CovBySMul
(M : Type u_1) → {X : Type u_3} → [inst : Monoid M] → [MulAction M X] → ℝ → Set X → Set X → PropPredicate for a set A to be covered by at most K cosets of another set B under the action
by the monoid M.
- Defined in
- Mathlib.Combinatorics.Additive.CovBySMul
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, 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.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- Finset.cardproof · cited by 2,327
- MulActionstatement and proof · cited by 1,294
Cited by13
Results whose statement or proof uses this declaration.
- IsApproximateSubgroup.sq_covBySMulstatement · cited by 6
- CovBySMul.of_subsetstatement · cited by 2
- CovBySMul.transstatement and proof · cited by 2
- CovBySMul.monostatement and proof · cited by 1
- CovBySMul.nonnegstatement and proof · cited by 1
- CovBySMul.subsetstatement and proof · cited by 1
- CovBySMul.subset_leftstatement and proof · cited by 1
- CovBySMul.subset_rightstatement and proof · cited by 1
- IsApproximateSubgroup.pow_inter_pow_covBySMul_sq_inter_sqstatement · cited by 1
- covBySMul_zerostatement · cited by 0
- CovBySMul.rflstatement · cited by 0
- IsApproximateSubgroup.casesOnstatement and proof · cited by 0