Theorems · Theorem · group theory
Submonoid.sup_eq_closure_mul
∀ {M : Type u_3} [inst : Monoid M] (H K : Submonoid M), H ⊔ K = Submonoid.closure (↑H * ↑K)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
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Cites16
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
- Monoidstatement and proof · cited by 3,887
- mul_oneproof · cited by 3,885
- LE.le.transproof · cited by 3,151
- Submonoidstatement and proof · cited by 3,086
- one_mulproof · cited by 2,841
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- Set.mulstatement · cited by 297
- Submonoid.closurestatement and proof · cited by 167
- sup_leproof · cited by 159
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