Theorems · Theorem · order theory
leOnePart_lt
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : Group α] {a b : α} [MulLeftMono α] [MulRightMono α],
a⁻ᵐ < b ↔ b⁻¹ < a ∧ 1 < b- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Groupstatement and proof · cited by 6,238
- MulLeftMonostatement and proof · cited by 410
- MulRightMonostatement and proof · cited by 263
- LeOnePart.leOnePartstatement · cited by 41
- sup_lt_iffproof · cited by 9
- inv_lt'proof · cited by 6
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