Theorems · Theorem · group theory
AddSubmonoid.card_le_one_iff_eq_bot
∀ {M : Type u_1} [inst : AddMonoid M] {S : AddSubmonoid M} [inst_1 : Fintype ↥S], Fintype.card ↥S ≤ 1 ↔ S = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Bot.botstatement and proof · cited by 4,720
- AddMonoidstatement and proof · cited by 2,864
- Fintype.cardstatement and proof · cited by 1,386
- AddSubmonoidstatement and proof · cited by 1,178
- Fintype.card_congr'proof · cited by 60
- Fintype.card_uniqueproof · cited by 59
- AddSubmonoid.mem_botproof · cited by 12
- Fintype.card_le_one_iffproof · cited by 4
- AddSubmonoid.eq_bot_iff_forallproof · cited by 4
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