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Theorems · Theorem · group theory

DirectSum.map_id

∀ {ι : Type u_3} {α : ι → Type u_4} [inst : (i : ι) → AddCommMonoid (α i)],
  (DirectSum.map fun i => AddMonoidHom.id (α i)) = AddMonoidHom.id (DirectSum ι fun i => α i)
Defined in
Mathlib.Algebra.DirectSum.Basic
Cited by
0 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoid
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AddCommMonoid · cited by 12281AddCommMonoidAddMonoidHom · cited by 3230AddMonoidHomDirectSum · cited by 446DirectSumAddMonoidHom.id · cited by 107AddMonoidHom.idDirectSum.map · cited by 15DirectSum.mapDFinsupp.mapRange.addMonoidHom_id · cited by 1mapRange.addMonoidHom_idDirectSum.map_idCITED BYCITES

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