Theorems · Theorem · group theory
Submonoid.op_eq_top
∀ {M : Type u_2} [inst : MulOneClass M] {S : Submonoid M}, S.op = ⊤ ↔ S = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Submonoidstatement and proof · cited by 3,086
- MulOppositestatement · cited by 1,135
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.opstatement · cited by 38
- Submonoid.op_injectiveproof · cited by 2
- Submonoid.op_topproof · cited by 1
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