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Use an `\iff`-calc to speed up `union_as_unions`. Also remove `in_implies_neq` which seems to interact badly with the choice axiom used by superposition-based proofs like Vampire in cut-down problems.
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Since Latex has a really specify syntax for
\begin{cases} ... \end{cases}
The math mode in tokenizing had to be setup correctly.
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since now some could define a function with overlapping
and worng subdomains
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But the Proof that the domain of the local function
is not right. Also if in the definition of our local
function we just use f(x) = x then we get a technical
ambigus parse
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for local functions and a abstract type in abstract.hs
for the proof data structure.
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