Step
*
1
of Lemma
nc-e-comp
1. I : fset(ℕ)
2. i : ℕ
3. j : ℕ
4. k : ℕ
5. ¬j ∈ I
6. x : names(I+k)
7. x ≠ k
8. x ∈ names(I)
9. x = j ∈ ℤ
⊢ <i> = <x> ∈ Point(dM(I+i))
BY
{ ((Assert ¬j ∈ I BY Auto) THEN D -1 THEN RevHypSubst' (-1) 0) }
1
1. I : fset(ℕ)
2. i : ℕ
3. j : ℕ
4. k : ℕ
5. ¬j ∈ I
6. x : names(I+k)
7. x ≠ k
8. x ∈ names(I)
9. x = j ∈ ℤ
⊢ x ∈ I
Latex:
Latex:
1. I : fset(\mBbbN{})
2. i : \mBbbN{}
3. j : \mBbbN{}
4. k : \mBbbN{}
5. \mneg{}j \mmember{} I
6. x : names(I+k)
7. x \mneq{} k
8. x \mmember{} names(I)
9. x = j
\mvdash{} <i> = <x>
By
Latex:
((Assert \mneg{}j \mmember{} I BY Auto) THEN D -1 THEN RevHypSubst' (-1) 0)
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