Theorems · Theorem · group theory
zsmul_sub
∀ {α : Type u_1} [inst : SubtractionCommMonoid α] (a b : α) (n : ℤ), n • (a - b) = n • a - n • b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- SubtractionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- sub_eq_add_negproof · cited by 1,023
- SubtractionCommMonoidstatement and proof · cited by 79
- zsmul_negproof · cited by 6
- zsmul_addproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- zsmul_strictMono_rightproof · cited by 3
- zsmul_mono_rightproof · cited by 1
- AddCommGroup.ModEq.zsmulproof · cited by 0