Theorems · Theorem · order theory
mul_le_mul_iff_right
∀ {α : Type u_1} [inst : Mul α] [inst_1 : LE α] [MulRightMono α] [MulRightReflectLE α] (a : α) {b c : α},
b * a ≤ c * a ↔ b ≤ c- Cited by
- 19 results in Mathlib
- Foundations
- Depth 5 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.
- MulRightMonostatement and proof · cited by 263
- CovariantClass.elimproof · cited by 22
- MulRightReflectLEstatement and proof · cited by 7
- rel_iff_cov'proof · cited by 5
- MulRightReflectLE.le_of_mul_le_mul_right'proof · cited by 2
Cited by19
Results whose statement or proof uses this declaration.
- inv_le_inv_iffproof · cited by 11
- div_le_iff_le_mulproof · cited by 6
- le_div_iff_mul_leproof · cited by 4
- one_le_div'proof · cited by 4
- mul_inv_le_iff_le_mulproof · cited by 4
- MulArchimedeanClass.mk_mul_eq_mk_leftproof · cited by 3
- mul_inv_le_inv_mul_iffproof · cited by 3
- div_le_one'proof · cited by 2
- div_le_div_iff_rightproof · cited by 1
- mul_le_iff_le_one_left'proof · cited by 1
- Right.inv_le_one_iffproof · cited by 1
- Right.one_le_inv_iffproof · cited by 1