Theorems · Theorem · commutative algebra
Subsemiring.center_toSubmonoid
∀ (R : Type u) [inst : NonAssocSemiring R],
(Subsemiring.center R).toSubmonoid =
{ carrier := (NonUnitalSubsemiring.center R).carrier, mul_mem' := ⋯, one_mem' := ⋯ }- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiring
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement · cited by 3,086
- NonAssocSemiringstatement and proof · cited by 805
- AddSubmonoid.toAddSubsemigroupstatement · cited by 198
- AddSubsemigroup.carrierstatement · cited by 198
- Subsemiring.toSubmonoidstatement and proof · cited by 153
- NonUnitalSubsemiring.toAddSubmonoidstatement · cited by 56
- NonUnitalSubsemiring.centerstatement · cited by 22
- Subsemiring.centerstatement and proof · cited by 18
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