Theorems · Theorem · ring theory
star_neg
∀ {R : Type u} [inst : AddGroup R] [inst_1 : StarAddMonoid R] (r : R), star (-r) = -star r- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupStarAddMonoid
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.
- AddGroupstatement and proof · cited by 4,410
- Star.starstatement · cited by 1,082
- StarAddMonoidstatement and proof · cited by 296
- starAddEquivproof · cited by 25
- AddEquiv.map_negproof · cited by 9
Cited by8
Results whose statement or proof uses this declaration.
- IsSelfAdjoint.negproof · cited by 7
- CFC.abs_negproof · cited by 2
- Matrix.IsHadamard.negproof · cited by 1
- Matrix.conjTranspose_negproof · cited by 1
- isStarNormal_iff_forall_exp_mul_exp_mem_unitaryproof · cited by 0
- Quaternion.normSq_negproof · cited by 0
- Commute.isStarNormal_subproof · cited by 0
- Zsqrtd.norm_negproof · cited by 0