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Theorems · Definition · ring theory

NonUnitalSubring.ofClass

{S : Type u_1} →
  {R : Type u_2} →
    [inst : NonUnitalNonAssocRing R] → [inst_1 : SetLike S R] → [NonUnitalSubringClass S R] → S → NonUnitalSubring R

The actual NonUnitalSubring obtained from an element of a NonUnitalSubringClass.

Defined in
Mathlib.RingTheory.NonUnitalSubring.Defs
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext
Assumes
NonUnitalNonAssocRingSetLikeNonUnitalSubringClass
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Around this declaration

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

NonUnitalSubring.ofClass_carrier · cited by 0NonUnitalSubring.ofClass_…SetLike.coe · cited by 8199SetLike.coeSetLike · cited by 1084SetLikeNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalSubringClass · cited by 13NonUnitalSubringClassNonUnitalSubring.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.