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Step * 1 1 of Lemma add-wf-partial


1. x : partial(Base)
2. y : partial(Base)
3. partial(Base) ⊆r Base
4. is-exception(x + y)
⊢ False
BY
{ TACTIC:((InstLemma `partial-not-exception` [⌜Base⌝;⌜x⌝]⋅ THENA Auto)
          THEN (InstLemma `partial-not-exception` [⌜Base⌝;⌜y⌝]⋅ THENA Auto)
          ) }

1
1. x : partial(Base)
2. y : partial(Base)
3. partial(Base) ⊆r Base
4. is-exception(x + y)
5. ¬is-exception(x)
6. ¬is-exception(y)
⊢ False

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Latex:

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Latex:

1.  x  :  partial(Base)
2.  y  :  partial(Base)
3.  partial(Base)  \msubseteq{}r  Base
4.  is-exception(x  +  y)
\mvdash{}  False


By

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Latex:
TACTIC:((InstLemma  `partial-not-exception`  [\mkleeneopen{}Base\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THENA  Auto)
                THEN  (InstLemma  `partial-not-exception`  [\mkleeneopen{}Base\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{}]\mcdot{}  THENA  Auto)
                )

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