Step
*
1
1
2
of Lemma
restrict_perm_wf
1. n : ℕ
2. p : Perm(ℕn + 1)
3. (p.f n) = n ∈ ℕn + 1
4. p.f ∈ ℕn ⟶ ℕn
⊢ p ∈ Perm(ℕn)
BY
{ Assert p.b ∈ ℕn ⟶ ℕn }
1
.....assertion.....
1. n : ℕ
2. p : Perm(ℕn + 1)
3. (p.f n) = n ∈ ℕn + 1
4. p.f ∈ ℕn ⟶ ℕn
⊢ p.b ∈ ℕn ⟶ ℕn
2
1. n : ℕ
2. p : Perm(ℕn + 1)
3. (p.f n) = n ∈ ℕn + 1
4. p.f ∈ ℕn ⟶ ℕn
5. p.b ∈ ℕn ⟶ ℕn
⊢ p ∈ Perm(ℕn)
Latex:
Latex:
1. n : \mBbbN{}
2. p : Perm(\mBbbN{}n + 1)
3. (p.f n) = n
4. p.f \mmember{} \mBbbN{}n {}\mrightarrow{} \mBbbN{}n
\mvdash{} p \mmember{} Perm(\mBbbN{}n)
By
Latex:
Assert p.b \mmember{} \mBbbN{}n {}\mrightarrow{} \mBbbN{}n
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