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Theorems · Theorem · number theory

CovByVAdd.of_subset

∀ {M : Type u_1} {X : Type u_3} [inst : AddMonoid M] [inst_1 : AddAction M X] {A B : Set X}, A ⊆ B → CovByVAdd 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
AddMonoidAddAction
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Around this declaration

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

CovByVAdd.subset_right · cited by 1CovByVAdd.subset_rightCovByVAdd.subset_left · cited by 1CovByVAdd.subset_leftSet · cited by 53352SetReal · cited by 25697RealAddMonoid · cited by 2864AddMonoidNat.cast_one · cited by 2501Nat.cast_oneHVAdd.hVAdd · cited by 1820HVAdd.hVAddAddAction · cited by 820AddActionzero_vadd · cited by 95zero_vaddCovByVAdd · cited by 11CovByVAddFinset.coe_zero · cited by 6Finset.coe_zeroFinset.card_zero · cited by 3Finset.card_zeroCovByVAdd.of_subsetCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.