Theorems · Theorem · order theory
inv_mul_le_of_le_mul
∀ {α : Type u} [inst : Group α] [inst_1 : LE α] [MulLeftMono α] {a b c : α}, a ≤ b * c → b⁻¹ * a ≤ cAlias of the reverse direction of inv_mul_le_iff_le_mul.
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- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- GroupLEMulLeftMono
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- Groupstatement and proof · cited by 6,238
- MulLeftMonostatement and proof · cited by 410
- inv_mul_le_iff_le_mulproof · cited by 5
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