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2018-06-18Fixed wrong definition of snd_dep. Proved projection property of snd_dep. ↵Josh Chen1-5/+13
Added type formation rules expressing necessity of the conditions.
2018-06-18Removed all [simp] attributes, these will be added later when I set up the ↵Josh Chen1-12/+19
simplifier. Proved simplification rule for dependent fst.
2018-06-17Decided on a new proper scheme for type rules using the idea of implicit ↵Josh Chen1-1/+1
well-formed contexts and guaranteed conclusion well-formedness. Product type rules now follow this scheme.
2018-06-12Type rules now have \"all\" premises explicitly stated, matching the ↵Josh Chen1-6/+13
formulation in the HoTT book.
2018-06-09Reorganize codeJosh Chen1-0/+48