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Theorems · Theorem · group theory

Subgroup.exists_finsupp_of_mem_closure_range

∀ {M : Type u_1} [inst : CommGroup M] {ι : Type u_2} (f : ι → M),
  ∀ x ∈ Subgroup.closure (Set.range f), ∃ a, x = a.prod fun x1 x2 => f x1 ^ x2
Defined in
Mathlib.Algebra.Group.Subgroup.Finsupp
Cited by
2 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommGroup

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