Theorems · Theorem · order theory
div_lt_div_of_neg_of_lt
∀ {α : Type u_2} [inst : Field α] [inst_1 : PartialOrder α] [PosMulReflectLT α] [IsStrictOrderedRing α] {a b c : α},
c < 0 → b < a → a / c < b / c- 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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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- div_eq_mul_invproof · cited by 715
- PosMulReflectLTstatement and proof · cited by 278
- inv_lt_zero'proof · cited by 11
- mul_lt_mul_of_neg_rightproof · cited by 6
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