Theorems · Definition · group theory

Monoid.PushoutI.NormalWord.equiv

{ι : Type u_1} →
  {G : ι → Type u_2} →
    {H : Type u_3} →
      [inst : (i : ι) → Group (G i)] →
        [inst_1 : Group H] →
          {φ : (i : ι) → H →* G i} →
            {d : Monoid.PushoutI.NormalWord.Transversal φ} →
              [DecidableEq ι] → [(i : ι) → DecidableEq (G i)] → Monoid.PushoutI φ ≃ Monoid.PushoutI.NormalWord d

The equivalence between normal forms and elements of the pushout

Defined in

Mathlib.GroupTheory.PushoutI

Cited by

1 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupGroupDecidableEqDecidableEq