Theorems · Theorem · group theory
Submonoid.sup_eq_closure
∀ {M : Type u_1} [inst : MulOneClass M] (N N' : Submonoid M), N ⊔ N' = Submonoid.closure (↑N ∪ ↑N')- 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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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Submonoidstatement and proof · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.closurestatement · cited by 167
- Submonoid.closure_eqproof · cited by 13
- Submonoid.closure_unionproof · cited by 10
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