instInhabitedNonUnitalSubalgebra — Mathlib

English

The sInf of a set S of subalgebras, taken in the lattice of nonunital subsemirings, equals the sInf of the image under the toNonUnitalSubsemiring map.

Русский

sInf множества подпалгебр в решётке ненулевых подпсемирингов равен sInf образов через toNonUnitalSubsemiring.

LaTeX

$$$ (sInf S).toNonUnitalSubsemiring = sInf (Set.image NonUnitalSubalgebra.toNonUnitalSubsemiring S) $$$

Lean4

instance : Inhabited (NonUnitalSubalgebra R A) :=
  ⟨⊥⟩

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