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Theorems · Theorem · ring theory

starAddEquiv_apply

∀ {R : Type u} [inst : AddMonoid R] [inst_1 : StarAddMonoid R] (a : R), starAddEquiv a = star a
Defined in
Mathlib.Algebra.Star.Basic
Cited by
5 results in Mathlib
Foundations
Depth 17 from the axioms · uses Quot.sound
Assumes
AddMonoidStarAddMonoid
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Around this declaration

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

star_le_star_iff · cited by 6star_le_star_iffIsSelfAdjoint.of_ge · cited by 2IsSelfAdjoint.of_gestarL'_symm_apply · cited by 0starL'_symm_applystarL_symm_apply · cited by 0starL_symm_applyMatrix.conjTranspose_single · cited by 0Matrix.conjTranspose_sing…DFunLike.coe · cited by 62936DFunLike.coeAddMonoid · cited by 2864AddMonoidAddEquiv · cited by 1087AddEquivStar.star · cited by 1082Star.starStarAddMonoid · cited by 296StarAddMonoidstarAddEquiv · cited by 25starAddEquivstarAddEquiv_applyCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.