Theorems · Theorem · group theory
Submonoid.op_sSup
∀ {M : Type u_2} [inst : MulOneClass M] (S : Set (Submonoid M)), (sSup S).op = sSup (Submonoid.unop ⁻¹' S)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClass
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Cites10
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
- Set.preimagestatement · cited by 4,946
- Submonoidstatement and proof · cited by 3,086
- MulOppositestatement · cited by 1,135
- MulOneClassstatement and proof · cited by 1,018
- SupSet.sSupstatement · cited by 954
- Submonoid.opstatement · cited by 38
- Submonoid.unopstatement · cited by 26
- OrderIso.map_sSup_eq_sSup_symm_preimageproof · cited by 18
- Submonoid.opEquivproof · cited by 18
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