Theorems · Theorem · ring theory
NonUnitalSubring.closure_le_centralizer_centralizer
∀ {R : Type u_1} [inst : NonUnitalRing R] (s : Set R),
NonUnitalSubring.closure s ≤ NonUnitalSubring.centralizer ↑(NonUnitalSubring.centralizer s)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 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.
Cites8
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 · cited by 8,199
- NonUnitalRingstatement and proof · cited by 422
- NonUnitalSubringstatement · cited by 185
- NonUnitalSubring.closurestatement · cited by 23
- Set.subset_centralizer_centralizerproof · cited by 13
- NonUnitalSubring.centralizerstatement · cited by 10
- NonUnitalSubring.closure_leproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalSubring.isMulCommutative_closureproof · cited by 0