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Theorems · Theorem · number theory

CovBySMul.of_subset

∀ {M : Type u_1} {X : Type u_3} [inst : Monoid M] [inst_1 : MulAction M X] {A B : Set X}, A ⊆ B → CovBySMul M 1 A B
Defined in
Mathlib.Combinatorics.Additive.CovBySMul
Cited by
2 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidMulAction
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CovBySMul.subset_left · cited by 1CovBySMul.subset_leftCovBySMul.subset_right · cited by 1CovBySMul.subset_rightSet · cited by 53352SetReal · cited by 25697RealMonoid · cited by 3887MonoidNat.cast_one · cited by 2501Nat.cast_oneone_smul · cited by 1374one_smulMulAction · cited by 1294MulActionCovBySMul · cited by 11CovBySMulFinset.coe_one · cited by 4Finset.coe_oneFinset.card_one · cited by 3Finset.card_oneCovBySMul.of_subsetCITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.