Step
*
of Lemma
isSet_functionality
∀a1,a2:coSet{i:l}. (seteq(a1;a2)
⇒ (isSet(a1)
⇐⇒ isSet(a2)))
BY
{ (All (RepUR ``coSet isSet seteq``) THEN InstLemma `coW-wfdd_functionality` [⌜Type⌝;⌜λ2x.x⌝]⋅ THEN Auto) }
Latex:
Latex:
\mforall{}a1,a2:coSet\{i:l\}. (seteq(a1;a2) {}\mRightarrow{} (isSet(a1) \mLeftarrow{}{}\mRightarrow{} isSet(a2)))
By
Latex:
(All (RepUR ``coSet isSet seteq``)
THEN InstLemma `coW-wfdd\_functionality` [\mkleeneopen{}Type\mkleeneclose{};\mkleeneopen{}\mlambda{}\msubtwo{}x.x\mkleeneclose{}]\mcdot{}
THEN Auto)
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