Theorems · Theorem · ring theory
starRingEnd_self_apply
∀ {R : Type u} [inst : CommSemiring R] [inst_1 : StarRing R] (x : R), (starRingEnd R) ((starRingEnd R) x) = x- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses Quot.sound
- Assumes
- CommSemiringStarRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- StarRingstatement and proof · cited by 1,686
- starRingEndstatement · cited by 671
- star_starproof · cited by 135
Cited by3
Results whose statement or proof uses this declaration.
- Complex.conj_conjproof · cited by 8
- RCLike.conj_conjproof · cited by 2
- isConformalMap_iff_is_complex_or_conj_linearproof · cited by 1