Step
*
of Lemma
fix_wf_partial
∀[A:Type]. ∀[f:partial(A) ⟶ partial(A)]. (fix(f) ∈ partial(A)) supposing value-type(A) ∧ mono(A)
BY
{ (Auto THEN InstLemma `fixpoint-induction-bottom2` [⌜A⌝;⌜partial(A)⌝;⌜λx.x⌝]⋅ THEN Auto) }
Latex:
Latex:
\mforall{}[A:Type].  \mforall{}[f:partial(A)  {}\mrightarrow{}  partial(A)].  (fix(f)  \mmember{}  partial(A))  supposing  value-type(A)  \mwedge{}  mono(A)
By
Latex:
(Auto  THEN  InstLemma  `fixpoint-induction-bottom2`  [\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}partial(A)\mkleeneclose{};\mkleeneopen{}\mlambda{}x.x\mkleeneclose{}]\mcdot{}  THEN  Auto)
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