Theorems · Theorem · order theory
lt_mul_left
∀ {M₀ : Type u_2} [inst : MonoidWithZero M₀] [inst_1 : PartialOrder M₀] {a b : M₀} [MulPosStrictMono M₀],
0 < a → 1 < b → a < b * a- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- one_mulproof · cited by 2,841
- MonoidWithZerostatement and proof · cited by 456
- MulPosStrictMonostatement and proof · cited by 94
- mul_lt_mul_of_pos_rightproof · cited by 54
Cited by2
Results whose statement or proof uses this declaration.
- Complex.nhdsWithin_lt_le_nhdsWithin_stolzSetproof · cited by 1
- lt_mul_selfproof · cited by 0