Theorems · Theorem · number theory
CovBySMul.trans
∀ {M : Type u_1} {N : Type u_2} {X : Type u_3} [inst : Monoid M] [inst_1 : Monoid N] [inst_2 : MulAction M X]
[inst_3 : MulAction N X] {K L : ℝ} {A B C : Set X} [inst_4 : SMul M N] [IsScalarTower M N X],
CovBySMul M K A B → CovBySMul N L B C → CovBySMul N (K * L) A C- Defined in
- Mathlib.Combinatorics.Additive.CovBySMul
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- IsScalarTowerstatement and proof · cited by 3,896
- Monoidstatement and proof · cited by 3,887
- Finset.cardproof · cited by 2,327
- le_reflproof · cited by 2,061
- MulActionstatement and proof · cited by 1,294
- Nat.cast_nonneg'proof · cited by 245
- smul_assocproof · cited by 150
- mul_le_mulproof · cited by 144
Cited by2
Results whose statement or proof uses this declaration.
- CovBySMul.subset_leftproof · cited by 1
- CovBySMul.subset_rightproof · cited by 1