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Theorems · Definition · group theory

RootableBy.mk.noConfusion

{A : Type u_1} →
  {α : Type u_2} →
    {inst : Monoid A} →
      {inst_1 : Pow A α} →
        {inst_2 : Zero α} →
          {P : Sort u} →
            {root : A → α → A} →
              {root_zero : ∀ (a : A), root a 0 = 1} →
                {root_cancel : ∀ {n : α} (a : A), n ≠ 0 → root a n ^ n = a} →
                  {root' : A → α → A} →
                    {root_zero' : ∀ (a : A), root' a 0 = 1} →
                      {root_cancel' : ∀ {n : α} (a : A), n ≠ 0 → root' a n ^ n = a} →
                        { root := root, root_zero := root_zero, root_cancel := root_cancel } =
                            { root := root', root_zero := root_zero', root_cancel := root_cancel' } →
                          (root ≍ root' → P) → P
Defined in
Mathlib.GroupTheory.Divisible
Cited by
0 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
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Monoid · cited by 3887MonoidRootableBy · cited by 6RootableByRootableBy.noConfusion · cited by 0RootableBy.noConfusionmk.noConfusionCITED BYCITES

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