Theorems · Theorem · number theory
CovBySMul.subset_left
∀ {M : Type u_1} {X : Type u_3} [inst : Monoid M] [inst_1 : MulAction M X] {K : ℝ} {A₁ A₂ B : Set X},
A₁ ⊆ A₂ → CovBySMul M K A₂ B → CovBySMul M K A₁ B- Defined in
- Mathlib.Combinatorics.Additive.CovBySMul
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Monoidstatement and proof · cited by 3,887
- one_mulproof · cited by 2,841
- MulActionstatement and proof · cited by 1,294
- CovBySMulstatement and proof · cited by 11
- CovBySMul.of_subsetproof · cited by 2
- CovBySMul.transproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CovBySMul.subsetproof · cited by 1