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Step * 1 1 1 1 of Lemma termination-equality


1. T : Type
2. value-type(T)
3. y : Base
4. y ∈ base-partial(T)
5. t : T
6. t = y ∈ partial(T)
⊢ t = y ∈ T
BY
{ xxx(PointwiseFunctionality (-2) THEN InstLemma `termination-equality-base` [⌜T⌝;⌜a⌝;⌜y⌝]⋅ THEN Auto)xxx }

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Latex:

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Latex:

1.  T  :  Type
2.  value-type(T)
3.  y  :  Base
4.  y  \mmember{}  base-partial(T)
5.  t  :  T
6.  t  =  y
\mvdash{}  t  =  y


By

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Latex:
xxx(PointwiseFunctionality  (-2)
        THEN  InstLemma  `termination-equality-base`  [\mkleeneopen{}T\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{}]\mcdot{}
        THEN  Auto)xxx

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