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Theorems · Definition · ring theory

NonUnitalSubsemiring.ofClass

{S : Type u_1} →
  {R : Type u_2} →
    [inst : NonUnitalNonAssocSemiring R] →
      [inst_1 : SetLike S R] → [NonUnitalSubsemiringClass S R] → S → NonUnitalSubsemiring R

The actual NonUnitalSubsemiring obtained from an element of a NonUnitalSubsemiringClass.

Defined in
Mathlib.RingTheory.NonUnitalSubsemiring.Defs
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
NonUnitalNonAssocSemiringSetLikeNonUnitalSubsemiringClass
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Around this declaration

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

NonUnitalSubsemiring.ofClass_carrier · cited by 0NonUnitalSubsemiring.ofCl…SetLike.coe · cited by 8199SetLike.coeSetLike · cited by 1084SetLikeNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringNonUnitalSubsemiring · cited by 201NonUnitalSubsemiringNonUnitalSubsemiringClass · cited by 22NonUnitalSubsemiringClassNonUnitalSubsemiring.ofClassCITED BYCITES

Cites5

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.