Theorems · Theorem · group theory

FreeAbelianGroup.liftAddEquiv_apply_apply

∀ {α : Type u} {G : Type u_1} [inst : AddCommGroup G] (a : α → Multiplicative G)
  (a_1 : Additive (Abelianization (FreeGroup α))),
  (FreeAbelianGroup.liftAddEquiv a) a_1 = Additive.ofMul ((Abelianization.lift (FreeGroup.lift a)) (Additive.toMul a_1))

Defined in: Mathlib.GroupTheory.FreeAbelianGroup
Cited by: 0 results in Mathlib
Foundations: Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddCommGroup

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DFunLike.coestatement and proof · cited by 62,936
AddCommGroupstatement and proof · cited by 12,871
Equivstatement · cited by 8,337
MonoidHomstatement · cited by 3,629
AddMonoidHomstatement · cited by 3,230
AddEquivstatement · cited by 1,087
Multiplicativestatement and proof · cited by 875
Additivestatement and proof · cited by 356
Additive.ofMulstatement · cited by 155
FreeGroupstatement and proof · cited by 132
Additive.toMulstatement · cited by 109
FreeAbelianGroupstatement · cited by 82

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