Step
*
of Lemma
classical-exists1
∀[T:Type]. ∀[P:T ⟶ ℙ]. ((∃x:T. {P[x]})
⇒ {∃x:T. P[x]})
BY
{ (Auto THEN ExRepD THEN (ExposeClassical THENA Auto) THEN ElimClassical THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type]. \mforall{}[P:T {}\mrightarrow{} \mBbbP{}]. ((\mexists{}x:T. \{P[x]\}) {}\mRightarrow{} \{\mexists{}x:T. P[x]\})
By
Latex:
(Auto THEN ExRepD THEN (ExposeClassical THENA Auto) THEN ElimClassical THEN Auto)
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