Theorems · Theorem · order theory
div_le_iff_le_mul
∀ {α : Type u} [inst : Group α] [inst_1 : LE α] [MulRightMono α] {a b c : α}, a / c ≤ b ↔ a ≤ b * c- Cited by
- 6 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- GroupLEMulRightMono
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.
- Groupstatement and proof · cited by 6,238
- div_eq_mul_invproof · cited by 715
- MulRightMonostatement and proof · cited by 263
- inv_mul_cancel_rightproof · cited by 70
- mul_le_mul_iff_rightproof · cited by 19
Cited by6
Results whose statement or proof uses this declaration.
- Set.preimage_mul_const_Iciproof · cited by 5
- div_le_iff_le_mul'proof · cited by 3
- mabs_div_mabs_le_mabs_divproof · cited by 2
- div_le_commproof · cited by 2
- mabs_div_le_of_one_le_of_leproof · cited by 0
- mabs_mabs_div_mabs_leproof · cited by 0