Definitions core StandardLIB Doc
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type_inj is intended chiefly for injecting into quotienttypes. For convenience, typing lemmas should be provenfor each application. e.g. ... x:T. [x]{a,b:T//Eab}A general typing lemma for type_inj(x;T) cannotbe proven, because it's antecedent would involve the subtypepredicate which isn't typeable.

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Definitions core StandardLIB Doc