Theorems · Theorem · group theory
AddSubmonoid.op_eq_bot
∀ {M : Type u_2} [inst : AddZeroClass M] {S : AddSubmonoid M}, S.op = ⊥ ↔ S = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
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.
- Bot.botstatement · cited by 4,720
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement and proof · cited by 1,178
- AddOppositestatement · cited by 452
- AddSubmonoid.opstatement · cited by 28
- AddSubmonoid.op_injectiveproof · cited by 2
- AddSubmonoid.op_botproof · cited by 1
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