Theorems · Theorem · order theory
le_inv_mul_iff_le
∀ {α : Type u} [inst : Group α] [inst_1 : LE α] [MulLeftMono α] {a b : α}, 1 ≤ b⁻¹ * a ↔ b ≤ a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- GroupLEMulLeftMono
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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
- mul_oneproof · cited by 3,885
- MulLeftMonostatement and proof · cited by 410
- mul_inv_cancel_leftproof · cited by 86
- mul_le_mul_iff_leftproof · cited by 15
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