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Step * 1 1 1 of Lemma termination

.....subterm..... T:t
1:n
1. T : Type
2. value-type(T)
3. x : Base
4. x1 : Base
5. x = x1 ∈ (x,y:base-partial(T)//per-partial(T;x;y))
6. x ∈ base-partial(T)
7. x1 ∈ base-partial(T)
8. per-partial(T;x;x1)
⊢ (x)↓ = (x1)↓ ∈ Type
BY
{ (BLemma `has-value-extensionality` THEN Auto) }

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Latex:

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Latex:
.....subterm.....  T:t
1:n
1.  T  :  Type
2.  value-type(T)
3.  x  :  Base
4.  x1  :  Base
5.  x  =  x1
6.  x  \mmember{}  base-partial(T)
7.  x1  \mmember{}  base-partial(T)
8.  per-partial(T;x;x1)
\mvdash{}  (x)\mdownarrow{}  =  (x1)\mdownarrow{}


By

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Latex:
(BLemma  `has-value-extensionality`  THEN  Auto)

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