Theorems · Theorem · order theory
inv_mul_le_iff_le_mul
∀ {α : Type u} [inst : Group α] [inst_1 : LE α] [MulLeftMono α] {a b c : α}, b⁻¹ * a ≤ c ↔ a ≤ b * c- Cited by
- 5 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- GroupLEMulLeftMono
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
- MulLeftMonostatement and proof · cited by 410
- mul_inv_cancel_leftproof · cited by 86
- mul_le_mul_iff_leftproof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- le_mul_ciInfproof · cited by 2
- inv_mul_le_iff_le_mul'proof · cited by 1
- mul_inv_le_iff_le_mul'proof · cited by 0
- inv_mul_le_of_le_mulproof · cited by 0
- inv_mul_le_one_iffproof · cited by 0