Theorems · Theorem · order theory
mul_le_mul_right
∀ {α : Type u_1} [inst : Mul α] [inst_1 : LE α] [MulLeftMono α] {b c : α}, b ≤ c → ∀ (a : α), a * b ≤ a * c- Cited by
- 47 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- MulLEMulLeftMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulLeftMonostatement and proof · cited by 410
- CovariantClass.elimproof · cited by 22
Cited by47
Results whose statement or proof uses this declaration.
- mul_le_mul'proof · cited by 274
- mul_lt_mul_of_lt_of_leproof · cited by 18
- le_mul_of_one_le_right'proof · cited by 17
- MeasureTheory.lintegral_const_mul'proof · cited by 15
- Ordinal.isNormal_mul_rightproof · cited by 14
- mul_right_monoproof · cited by 13
- Cardinal.mul_eq_selfproof · cited by 13
- Cardinal.mul_eq_maxproof · cited by 8
- Cardinal.mul_eq_max_of_aleph0_le_leftproof · cited by 8
- le_mul_of_le_of_one_leproof · cited by 4
- MulLECancellable.mul_le_mul_iff_leftproof · cited by 3
- ENNReal.coe_div_leproof · cited by 3