Theorems · Theorem · group theory
Submonoid.closure_insert_one
∀ {M : Type u_1} [inst : MulOneClass M] (s : Set M), Submonoid.closure (insert 1 s) = Submonoid.closure s- Defined in
- Mathlib.Algebra.Group.Submonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClass
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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
- Submonoidstatement and proof · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.closurestatement and proof · cited by 167
- OneMemClass.one_memproof · cited by 87
- sup_eq_rightproof · cited by 53
- Set.insert_eqproof · cited by 47
- Submonoid.closure_unionproof · cited by 10
- Submonoid.closure_singleton_le_iff_memproof · cited by 2
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