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Theorems · Theorem · group theory

AddSubmonoid.center_sum

∀ {M : Type u_1} [inst : AddZeroClass M] {N : Type u_2} [inst_1 : AddZeroClass N],
  AddSubmonoid.center (M × N) = (AddSubmonoid.center M).prod (AddSubmonoid.center N)
Defined in
Mathlib.GroupTheory.Submonoid.Center
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Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddZeroClassAddZeroClass
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AddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidSetLike.coe_injective · cited by 374SetLike.coe_injectiveAddSubmonoid.prod · cited by 27AddSubmonoid.prodAddSubmonoid.center · cited by 15AddSubmonoid.centerSet.addCenter_prod · cited by 3Set.addCenter_prodAddSubmonoid.center_sumCITED BYCITES

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