Theorems · Theorem · group theory
Submonoid.closure_sdiff_singleton_one
∀ {M : Type u_1} [inst : MulOneClass M] (s : Set M), Submonoid.closure (s \ {1}) = Submonoid.closure s- Defined in
- Mathlib.Algebra.Group.Submonoid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClass
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
- Submonoidstatement · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.closurestatement and proof · cited by 167
- Submonoid.closure_sdiff_eq_closureproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.closure_irreducibleproof · cited by 0