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Theorems · Theorem · group theory

AddSubmonoid.pi_top

∀ {ι : Type u_4} {M : ι → Type u_5} [inst : (i : ι) → AddZeroClass (M i)] (I : Set ι),
  (AddSubmonoid.pi I fun i => ⊤) = ⊤
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
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Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
AddZeroClass
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Set · cited by 53352SetTop.top · cited by 9680Top.topAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddSubmonoid.ext · cited by 32AddSubmonoid.extAddSubmonoid.mem_top · cited by 20AddSubmonoid.mem_topAddSubmonoid.pi · cited by 20AddSubmonoid.piAddSubmonoid.mem_pi · cited by 3AddSubmonoid.mem_piAddSubmonoid.pi_topCITED BYCITES

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