hol Sections HOLlib Doc
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Def P == InjCase(lem(P) ; true; false)

is mentioned by

Thm* P:. (P) = P[prop_to_bool_char_2]
Thm* (P P[prop_to_bool_char]
Def x = y == (x = y  T)[bequal]
Def x:TP(x) == (x:TP(x))[bexists]
Def x:TP(x) == (x:TP(x))[ball]

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hol Sections HOLlib Doc