Theorems · Theorem · functional analysis
conjneg_pos
∀ {G : Type u_1} {R : Type u_2} [inst : AddGroup G] [inst_1 : CommSemiring R] [inst_2 : PartialOrder R]
[inst_3 : StarRing R] [StarOrderedRing R] {f : G → R}, 0 < conjneg f ↔ 0 < f- Defined in
- Mathlib.Algebra.Order.Star.Conjneg
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- PartialOrderstatement and proof · cited by 6,410
- AddGroupstatement and proof · cited by 4,410
- StarRingstatement and proof · cited by 1,686
- StarOrderedRingstatement and proof · cited by 587
- conjnegstatement and proof · cited by 28
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