Theorems · Theorem · order theory
inv_mul_lt_of_lt_mul
∀ {α : Type u} [inst : Group α] [inst_1 : LT α] [MulLeftStrictMono α] {a b c : α}, a < b * c → b⁻¹ * a < cAlias of the reverse direction of inv_mul_lt_iff_lt_mul.
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- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- GroupLTMulLeftStrictMono
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- Groupstatement and proof · cited by 6,238
- MulLeftStrictMonostatement and proof · cited by 146
- inv_mul_lt_iff_lt_mulproof · cited by 6
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