Theorems · Definition · ring theory
NonUnitalSubring.copy
{R : Type u} → [inst : NonUnitalNonAssocRing R] → (S : NonUnitalSubring R) → (s : Set R) → s = ↑S → NonUnitalSubring RCopy of a non-unital subring with a new carrier equal to the old one. Useful to fix
definitional equalities.
- Defined in
- Mathlib.RingTheory.NonUnitalSubring.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubsemiringproof · cited by 201
- NonUnitalSubringstatement and proof · cited by 185
- NonUnitalSubring.toNonUnitalSubsemiringproof · cited by 15
- NonUnitalSubsemiring.copyproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- NonUnitalRingHom.rangeproof · cited by 12
- NonUnitalSubring.copy_eqstatement and proof · cited by 0
- NonUnitalSubring.coe_copystatement · cited by 0