Theorems · Theorem · group theory
AddSubmonoid.pi_bot
∀ {ι : Type u_4} {M : ι → Type u_5} [inst : (i : ι) → AddZeroClass (M i)], (AddSubmonoid.pi Set.univ fun i => ⊥) = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- AddZeroClass
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- Set.univstatement and proof · cited by 3,945
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- Set.mem_univproof · cited by 416
- AddSubmonoid.extproof · cited by 32
- AddSubmonoid.pistatement · cited by 20
- AddSubmonoid.mem_botproof · cited by 12
- AddSubmonoid.mem_piproof · cited by 3
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