Step
*
of Lemma
singleton-type-void-domain
∀[A:Type]. ∀[B:A ⟶ Type]. singleton-type(a:A ⟶ B[a]) supposing ¬A
BY
{ (Auto THEN With ⌜λx.⋅⌝ (D 0)⋅ THEN Auto) }
Latex:
Latex:
\mforall{}[A:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. singleton-type(a:A {}\mrightarrow{} B[a]) supposing \mneg{}A
By
Latex:
(Auto THEN With \mkleeneopen{}\mlambda{}x.\mcdot{}\mkleeneclose{} (D 0)\mcdot{} THEN Auto)
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