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Theorems · Definition · ring theory

StarSubsemiring.ofClass

{S : Type u_1} →
  {R : Type u_2} →
    [inst : NonAssocSemiring R] →
      [inst_1 : SetLike S R] →
        [inst_2 : StarRing R] → [SubsemiringClass S R] → [StarMemClass S R] → S → StarSubsemiring R

The actual StarSubsemiring obtained from an element of a StarSubsemiringClass.

Defined in
Mathlib.Algebra.Star.Subsemiring
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses no axioms
Assumes
NonAssocSemiringSetLikeStarRingSubsemiringClassStarMemClass
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Around this declaration

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

StarSubsemiring.coe_ofClass · cited by 0StarSubsemiring.coe_ofCla…SetLike.coe · cited by 8199SetLike.coeStarRing · cited by 1686StarRingSetLike · cited by 1084SetLikeNonAssocSemiring · cited by 805NonAssocSemiringSubsemiringClass · cited by 30SubsemiringClassStarMemClass · cited by 21StarMemClassStarSubsemiring · cited by 18StarSubsemiringStarSubsemiring.ofClassCITED 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.