Step
*
2
1
of Lemma
product-equipollent-tuple3
.....equality.....
1. u : Type
2. v : Type List
3. ∀[A:Type]. tuple-type(v) × A ~ tuple-type(v @ [A])
4. A : Type
5. tuple-type(v) × A ~ tuple-type(v @ [A])
⊢ null(v @ [A]) ~ ff
BY
{ (DVar `v' THEN Reduce 0 THEN Auto) }
Latex:
Latex:
.....equality.....
1. u : Type
2. v : Type List
3. \mforall{}[A:Type]. tuple-type(v) \mtimes{} A \msim{} tuple-type(v @ [A])
4. A : Type
5. tuple-type(v) \mtimes{} A \msim{} tuple-type(v @ [A])
\mvdash{} null(v @ [A]) \msim{} ff
By
Latex:
(DVar `v' THEN Reduce 0 THEN Auto)
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