Theorems · Definition · ring theory
conjneg
{G : Type u_2} → {R : Type u_3} → [AddGroup G] → [inst : CommSemiring R] → [StarRing R] → (G → R) → G → RConjugation-negation. Sends f to fun x ↦ conj (f (-x)).
- Defined in
- Mathlib.Algebra.Star.Conjneg
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupCommSemiringStarRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- AddGroupstatement and proof · cited by 4,410
- StarRingstatement and proof · cited by 1,686
- starRingEndproof · cited by 671
Cited by29
Results whose statement or proof uses this declaration.
- conjneg_involutivestatement · cited by 3
- conjneg_conjnegstatement · cited by 3
- conjneg_injstatement · cited by 2
- conjneg_injectivestatement · cited by 2
- conjneg_onestatement · cited by 1
- conjneg_zerostatement · cited by 1
- conjnegRingHomproof · cited by 1
- conjneg_eq_onestatement and proof · cited by 1
- conjneg_eq_zerostatement and proof · cited by 1
- conjneg_posstatement and proof · cited by 0
- conjneg_prodstatement and proof · cited by 0
- conjneg_substatement · cited by 0