Theorems · Theorem · group theory
Submonoid.centralizer_le
∀ {M : Type u_1} {S T : Set M} [inst : Monoid M], S ⊆ T → Submonoid.centralizer T ≤ Submonoid.centralizer S- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- Submonoid.centralizerstatement · cited by 15
- Set.centralizer_subsetproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.centralizer_leproof · cited by 2