Theorems · Theorem · order theory
inv_mul_lt_one_iff
∀ {α : Type u} [inst : Group α] [inst_1 : LT α] [MulLeftStrictMono α] {a b : α}, a⁻¹ * b < 1 ↔ b < a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- GroupLTMulLeftStrictMono
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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
- MulLeftStrictMonostatement and proof · cited by 146
- transproof · cited by 111
- inv_mul_lt_iff_lt_mulproof · cited by 6
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