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Theorems · Theorem · ring theory

conjneg_inj

∀ {G : Type u_2} {R : Type u_3} [inst : AddGroup G] [inst_1 : CommSemiring R] [inst_2 : StarRing R] {f g : G → R},
  conjneg f = conjneg g ↔ f = g
Defined in
Mathlib.Algebra.Star.Conjneg
Cited by
2 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Quot.sound
Assumes
AddGroupCommSemiringStarRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

conjneg_eq_one · cited by 1conjneg_eq_oneconjneg_eq_zero · cited by 1conjneg_eq_zeroCommSemiring · cited by 10911CommSemiringAddGroup · cited by 4410AddGroupStarRing · cited by 1686StarRingconjneg · cited by 28conjnegconjneg_injective · cited by 2conjneg_injectiveconjneg_injCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.