Theorems · Definition · group theory

Monoid.CoprodI.NeWord.inv

{ι : Type u_1} →
  {G : ι → Type u_4} →
    [inst : (i : ι) → Group (G i)] → {i j : ι} → Monoid.CoprodI.NeWord G i j → Monoid.CoprodI.NeWord G j i

The inverse of a non-empty reduced word

Defined in: Mathlib.GroupTheory.CoprodI
Cited by: 5 results in Mathlib
Foundations: Depth 13 from the axioms · uses propext
Assumes: Group

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Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Groupstatement and proof · cited by 6,238
Monoid.CoprodI.NeWordstatement and proof · cited by 36
Monoid.CoprodI.NeWord.brecOnproof · cited by 2

Cited by5

Results whose statement or proof uses this declaration.

Monoid.CoprodI.NeWord.inv_prodstatement and proof · cited by 1
Monoid.CoprodI.lift_word_prod_nontrivial_of_not_emptyproof · cited by 1
Monoid.CoprodI.NeWord.inv.eq_defstatement and proof · cited by 0
Monoid.CoprodI.NeWord.inv_headstatement and proof · cited by 0
Monoid.CoprodI.NeWord.inv_laststatement and proof · cited by 0