Theorems · Theorem · ring theory
conj_trivial
∀ {R : Type u} [inst : CommSemiring R] [inst_1 : StarRing R] [TrivialStar R] (a : R), (starRingEnd R) a = a- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses Quot.sound
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.
- 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
- TrivialStarstatement and proof · cited by 66
- TrivialStar.star_trivialproof · cited by 26
Cited by27
Results whose statement or proof uses this declaration.
- ProbabilityTheory.uncenteredCovarianceBilinDual_applyproof · cited by 4
- MeasureTheory.charFun_map_eq_charFunDual_smulproof · cited by 3
- ProbabilityTheory.complexMGF_id_mul_Iproof · cited by 2
- MeasureTheory.charFunDual_eq_charFun_map_oneproof · cited by 2
- ProbabilityTheory.covarianceBilin_realproof · cited by 1
- MeasureTheory.Measure.ext_of_complexMGF_eqproof · cited by 1
- MeasureTheory.charFun_apply_realproof · cited by 1
- hasDerivAt_norm_rpowproof · cited by 1
- GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpaceproof · cited by 1
- GaussianFourier.integral_cexp_neg_mul_sq_norm_add_of_euclideanSpaceproof · cited by 1
- stereoInvFunAux_memproof · cited by 1
- ProbabilityTheory.IsGaussianProcess.indepFun_of_covariance_eq_zeroproof · cited by 1