Step
*
1
1
of Lemma
extend_perm_over_comp
1. n : ℕ
2. p : Sym(n)
3. q : Sym(n)
⊢ ↑{n}(p O q) = ↑{n}(p) O ↑{n}(q) ∈ perm_sig(ℕn + 1)
BY
{ ((D 3 THENM D 2) THENA Auto) }
1
1. n : ℕ
2. p : perm_sig(ℕn)
3. InvFuns(ℕn;ℕn;p.f;p.b)
4. q : perm_sig(ℕn)
5. InvFuns(ℕn;ℕn;q.f;q.b)
⊢ ↑{n}(p O q) = ↑{n}(p) O ↑{n}(q) ∈ perm_sig(ℕn + 1)
Latex:
Latex:
1. n : \mBbbN{}
2. p : Sym(n)
3. q : Sym(n)
\mvdash{} \muparrow{}\{n\}(p O q) = \muparrow{}\{n\}(p) O \muparrow{}\{n\}(q)
By
Latex:
((D 3 THENM D 2) THENA Auto)
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