Theorems · Theorem · order theory
le_inv_mul_of_mul_le
∀ {α : Type u} [inst : Group α] [inst_1 : LE α] [MulLeftMono α] {a b c : α}, a * b ≤ c → b ≤ a⁻¹ * cAlias of the reverse direction of le_inv_mul_iff_mul_le.
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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
- le_inv_mul_iff_mul_leproof · cited by 2
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