Step
*
1
2
2
of Lemma
band-wf-partial
1. a : partial(Base)
2. b : partial(𝔹)
3. is-exception(case a of inl() => b | inr() => ff)
4. is-exception(a)
⊢ ↓False
BY
{ (InstLemma `partial-not-exception` [⌜Base⌝;⌜a⌝]⋅ THEN Auto) }
Latex:
Latex:
1.  a  :  partial(Base)
2.  b  :  partial(\mBbbB{})
3.  is-exception(case  a  of  inl()  =>  b  |  inr()  =>  ff)
4.  is-exception(a)
\mvdash{}  \mdownarrow{}False
By
Latex:
(InstLemma  `partial-not-exception`  [\mkleeneopen{}Base\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{}]\mcdot{}  THEN  Auto)
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