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Theorems · Definition · ring theory

NonUnitalStarSubsemiring.ofClass

{S : Type u_1} →
  {R : Type u_2} →
    [inst : NonUnitalNonAssocSemiring R] →
      [inst_1 : StarRing R] →
        [inst_2 : SetLike S R] → [NonUnitalSubsemiringClass S R] → [StarMemClass S R] → S → NonUnitalStarSubsemiring R

The actual NonUnitalStarSubsemiring obtained from an element of a type satisfying NonUnitalSubsemiringClass and StarMemClass.

Defined in
Mathlib.Algebra.Star.NonUnitalSubsemiring
Cited by
1 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
NonUnitalNonAssocSemiringStarRingSetLikeNonUnitalSubsemiringClassStarMemClass
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Around this declaration

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

NonUnitalStarSubsemiring.coe_ofClass · cited by 0NonUnitalStarSubsemiring.…SetLike.coe · cited by 8199SetLike.coeStarRing · cited by 1686StarRingSetLike · cited by 1084SetLikeNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringNonUnitalSubsemiringClass · cited by 22NonUnitalSubsemiringClassStarMemClass · cited by 21StarMemClassNonUnitalStarSubsemiring · cited by 11NonUnitalStarSubsemiringNonUnitalStarSubsemiring.ofCl…CITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.