Theorems · Theorem · group theory
Submonoid.eq_bot_of_subsingleton
∀ {M : Type u_1} [inst : MulOneClass M] (S : Submonoid M) [Subsingleton ↥S], S = ⊥- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClassSubsingleton
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- Submonoidstatement and proof · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.eq_bot_iff_forallproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.eq_bot_of_card_leproof · cited by 1