Step
*
1
1
1
of Lemma
strong-continuity-test-prop2
1. [T] : Type
2. M : n:ℕ ⟶ (ℕn ⟶ T) ⟶ (ℕ?)
3. f : ℕ0 ⟶ T
4. b : ℕ?
5. ↑isl(b)
6. ↑isr(b)
⊢ ∃m:ℕ. (m < 0 ∧ (↑isl(strong-continuity-test(M;m;f;M m f))))
BY
{ ((FLemma `isr-not-isl` [-1] THENA Auto) THEN RWO "-1" (-3) THEN AllReduce THEN Auto) }
Latex:
Latex:
1. [T] : Type
2. M : n:\mBbbN{} {}\mrightarrow{} (\mBbbN{}n {}\mrightarrow{} T) {}\mrightarrow{} (\mBbbN{}?)
3. f : \mBbbN{}0 {}\mrightarrow{} T
4. b : \mBbbN{}?
5. \muparrow{}isl(b)
6. \muparrow{}isr(b)
\mvdash{} \mexists{}m:\mBbbN{}. (m < 0 \mwedge{} (\muparrow{}isl(strong-continuity-test(M;m;f;M m f))))
By
Latex:
((FLemma `isr-not-isl` [-1] THENA Auto) THEN RWO "-1" (-3) THEN AllReduce THEN Auto)
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