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Theorems · Theorem · group theory

AddMonoid.Coprod.con_neg_add_cancel

∀ {G : Type u_1} {H : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup H] (x : FreeAddMonoid (G ⊕ H)),
  (AddMonoid.coprodCon G H)
    (FreeAddMonoid.ofList (List.map (Sum.map Neg.neg Neg.neg) (FreeAddMonoid.toList x)).reverse + x) 0
Defined in
Mathlib.GroupTheory.Coprod.Basic
Cited by
0 results in Mathlib
Foundations
Depth 49 from the axioms · uses propext, Quot.sound
Assumes
AddGroupAddGroup
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DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivAddGroup · cited by 4410AddGroupadd_zero · cited by 2707add_zerozero_add · cited by 2366zero_addmap_zero · cited by 1614map_zeromap_add · cited by 964map_addadd_assoc · cited by 746add_assocFreeAddMonoid · cited by 145FreeAddMonoidAddCon · cited by 138AddConAddMonoid.Coprod · cited by 104AddMonoid.CoprodFreeAddMonoid.of · cited by 69FreeAddMonoid.ofFreeAddMonoid.toList · cited by 32FreeAddMonoid.toListFreeAddMonoid.ofList · cited by 21FreeAddMonoid.ofListAddMonoid.Coprod.mk · cited by 16Coprod.mkCoprod.con_neg_add_cancelCITED BYCITES

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