Step
*
1
2
of Lemma
extend_perm_over_id
.....set predicate.....
1. n : ℕ
⊢ InvFuns(ℕn + 1;ℕn + 1;id_perm().f;id_perm().b)
BY
{ (Assert id_perm() ∈ Sym(n + 1) THENA Auto{1,3}-1) }
1
1. n : ℕ
2. id_perm() ∈ Sym(n + 1)
⊢ InvFuns(ℕn + 1;ℕn + 1;id_perm().f;id_perm().b)
Latex:
Latex:
.....set predicate.....
1. n : \mBbbN{}
\mvdash{} InvFuns(\mBbbN{}n + 1;\mBbbN{}n + 1;id\_perm().f;id\_perm().b)
By
Latex:
(Assert id\_perm() \mmember{} Sym(n + 1) THENA Auto\{1,3\}-1)
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