Theorems · Theorem · order theory
mul_inv_le_iff_le_mul
∀ {α : Type u} [inst : Group α] [inst_1 : LE α] [MulRightMono α] {a b c : α}, a * b⁻¹ ≤ c ↔ a ≤ c * b- Cited by
- 4 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.
Cites4
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
- MulRightMonostatement and proof · cited by 263
- inv_mul_cancel_rightproof · cited by 70
- mul_le_mul_iff_rightproof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- le_ciInf_mulproof · cited by 2
- mul_inv_le_one_iffproof · cited by 0
- mul_inv_le_one_iff_leproof · cited by 0
- mabs_mabs_div_mabs_leproof · cited by 0