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Definition of function composition and properties.
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type family decorations implicit.
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derivation of "A:U" from "a:A".
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be needed or useful later. Added [comp] attribute to be used by simplification met methods.
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powerful derive method. Used these to rewrite proofs.
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Added type formation rules expressing necessity of the conditions.
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simplifier. Proved simplification rule for dependent fst.
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formulation in the HoTT book.
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