Theorems · Theorem · order theory
inv_antitoneOn_Iio
∀ {α : Type u_2} [inst : Field α] [inst_1 : PartialOrder α] [PosMulReflectLT α] [IsStrictOrderedRing α],
AntitoneOn (fun x => x⁻¹) (Set.Iio 0)- Defined in
- Mathlib.Algebra.Order.Field.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Preorderproof · cited by 7,952
- Fieldstatement and proof · cited by 7,404
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Set.Iiostatement and proof · cited by 1,166
- sub_zeroproof · cited by 938
- PosMulReflectLTstatement and proof · cited by 278
- AntitoneOnstatement and proof · cited by 266
- sub_inv_antitoneOn_Iioproof · cited by 2
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