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Theorems · Theorem · ring theory

Subsemigroup.nonUnitalSubsemiringClosure_eq_closure

∀ {R : Type u} [inst : NonUnitalNonAssocSemiring R] (M : Subsemigroup R),
  M.nonUnitalSubsemiringClosure = NonUnitalSubsemiring.closure ↑M

The NonUnitalSubsemiring generated by a multiplicative subsemigroup coincides with the NonUnitalSubsemiring.closure of the subsemigroup itself .

Defined in
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
Cited by
2 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocSemiring

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Cited by2

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