Theorems · Theorem · order theory
Bound.one_lt_div_of_pos_of_lt
∀ {α : Type u_2} [inst : Semifield α] [inst_1 : PartialOrder α] [PosMulReflectLT α] {a b : α}, 0 < b → b < a → 1 < a / b- Defined in
- Mathlib.Algebra.Order.Field.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
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- PartialOrderstatement and proof · cited by 6,410
- Semifieldstatement and proof · cited by 439
- PosMulReflectLTstatement and proof · cited by 278
- one_lt_divproof · cited by 12
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