Theorems · Theorem · ring theory
conjneg_eq_one
∀ {G : Type u_2} {R : Type u_3} [inst : AddGroup G] [inst_1 : CommSemiring R] [inst_2 : StarRing R] {f : G → R},
conjneg f = 1 ↔ f = 1- Defined in
- Mathlib.Algebra.Star.Conjneg
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupCommSemiringStarRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- conjnegstatement and proof · cited by 28
- conjneg_conjnegproof · cited by 3
- conjneg_injproof · cited by 2
- conjneg_oneproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- conjneg_ne_oneproof · cited by 0