Theorems · Theorem · ring theory
conjneg_ne_zero
∀ {G : Type u_2} {R : Type u_3} [inst : AddGroup G] [inst_1 : CommSemiring R] [inst_2 : StarRing R] {f : G → R},
conjneg f ≠ 0 ↔ f ≠ 0- Defined in
- Mathlib.Algebra.Star.Conjneg
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupCommSemiringStarRing
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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
- AddGroupstatement and proof · cited by 4,410
- StarRingstatement and proof · cited by 1,686
- Iff.notproof · cited by 489
- conjnegstatement · cited by 28
- conjneg_eq_zeroproof · cited by 1
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