Step
*
of Lemma
sqequal-spread-cbva-weak
∀[a:Top × Top]. ∀[b,F:Top]. (let x ←─ a in let u,v = x in F[u;v] ~ let u,v = a in let x ←─ u in let y ←─ v in F[x;y])
BY
{ ((UnivCD THENA Auto)
THEN DProdsAndUnions
THEN SymbComp 0
THEN RWO "lifting-callbyvalueall-pair" 0
THEN Reduce 0
THEN Auto) }
Latex:
\mforall{}[a:Top \mtimes{} Top]. \mforall{}[b,F:Top].
(let x \mleftarrow{}{} a
in let u,v = x
in F[u;v] \msim{} let u,v = a
in let x \mleftarrow{}{} u
in let y \mleftarrow{}{} v
in F[x;y])
By
((UnivCD THENA Auto)
THEN DProdsAndUnions
THEN SymbComp 0
THEN RWO "lifting-callbyvalueall-pair" 0
THEN Reduce 0
THEN Auto)
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