Step
*
1
of Lemma
strong-continuity3-half-squash
1. [T] : Type
2. T ⊆r ℕ
3. ↓T
4. F : (ℕ ⟶ T) ⟶ ℕ
5. strong-continuity2(T;F)
⊢ strong-continuity3(T;F)
BY
{ (InstLemma `strong-continuity2-implies-3` [⌜T⌝;⌜F⌝]⋅ THEN Auto) }
Latex:
Latex:
1.  [T]  :  Type
2.  T  \msubseteq{}r  \mBbbN{}
3.  \mdownarrow{}T
4.  F  :  (\mBbbN{}  {}\mrightarrow{}  T)  {}\mrightarrow{}  \mBbbN{}
5.  strong-continuity2(T;F)
\mvdash{}  strong-continuity3(T;F)
By
Latex:
(InstLemma  `strong-continuity2-implies-3`  [\mkleeneopen{}T\mkleeneclose{};\mkleeneopen{}F\mkleeneclose{}]\mcdot{}  THEN  Auto)
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