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Theorems · Theorem · commutative algebra

Subsemiring.closure_le_centralizer_centralizer

∀ {R' : Type u_1} [inst : Semiring R'] (s : Set R'),
  Subsemiring.closure s ≤ Subsemiring.centralizer ↑(Subsemiring.centralizer s)
Defined in
Mathlib.Algebra.Ring.Subsemiring.Basic
Cited by
1 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
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Subsemiring.isMulCommutative_closure · cited by 0Subsemiring.isMulCommutat…Set · cited by 53352SetSemiring · cited by 13802SemiringSetLike.coe · cited by 8199SetLike.coeSubsemiring · cited by 456SubsemiringSubsemiring.closure · cited by 53Subsemiring.closureSet.subset_centralizer_centralizer · cited by 13Set.subset_centralizer_ce…Subsemiring.centralizer · cited by 13Subsemiring.centralizerSubsemiring.closure_le · cited by 12Subsemiring.closure_leSubsemiring.closure_le_centra…CITED BYCITES

Cites8

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Cited by1

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