Step
*
of Lemma
exists_det_fun_a
∀[T:Type]. ∀[A:T ⟶ ℙ]. ((∀x:T. SqStable(A x))
⇒ (detach_fun(T;A)
⇐⇒ {∀x:T. Dec(A x)}))
BY
{ (Unfold `guard` 0 THEN InstLemma `exists_det_fun` [] THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type]. \mforall{}[A:T {}\mrightarrow{} \mBbbP{}]. ((\mforall{}x:T. SqStable(A x)) {}\mRightarrow{} (detach\_fun(T;A) \mLeftarrow{}{}\mRightarrow{} \{\mforall{}x:T. Dec(A x)\}))
By
Latex:
(Unfold `guard` 0 THEN InstLemma `exists\_det\_fun` [] THEN Auto)
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