Theorems · Theorem · ring theory
NonUnitalSubring.centralizer_eq_top_iff_subset
∀ {R : Type u_1} [inst : NonUnitalRing R] {s : Set R},
NonUnitalSubring.centralizer s = ⊤ ↔ s ⊆ ↑(NonUnitalSubring.center R)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Top.topstatement · cited by 9,680
- SetLike.coestatement · cited by 8,199
- NonUnitalRingstatement and proof · cited by 422
- NonUnitalSubringstatement · cited by 185
- SetLike.ext'_iffproof · cited by 78
- NonUnitalSubring.centerstatement · cited by 13
- NonUnitalSubring.centralizerstatement · cited by 10
- Set.centralizer_eq_top_iff_subsetproof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.