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2019-02-17Method "quantify" converts product inhabitation into Pure universal ↵Josh Chen1-2/+2
statements. Also misc. cleanups.
2019-02-11Organize this commit as a backup of the work on type inference done so far; ↵Josh Chen1-27/+24
learnt that I probably need to take a different approach. In particular, should first make the constants completely monomorphic, and then work on full proper type inference, rather than the heuristic approach taken here.
2018-09-19Not sure what advantage is provided by having eta-expanded forms in the ↵Josh Chen1-2/+2
rules. Removing for now.
2018-09-18Overhaul of the theory presentations. New methods in HoTT_Methods.thy for ↵Josh Chen1-0/+1
handling universes. Commit for release 0.1.0!
2018-09-17Reorganizing theoriesJosh Chen1-34/+23
2018-09-12Some final touchups before release 0.1 for the MS thesisJosh Chen1-1/+1
2018-09-11Go back to higher-order application notationJosh Chen1-12/+12
2018-08-18Move Empty and Unit types to their own theoriesJosh Chen1-13/+0
2018-08-18Reorganize methodsJosh Chen1-1/+1
2018-08-18Regrouping type rulesJosh Chen1-17/+19
2018-08-16Prod.thy now has the correct definitional equality structure rule. ↵Josh Chen1-1/+1
Definition of function composition and properties.
2018-08-16Prod.thy now has the correct definitional equality structure rule. ↵Josh Chen1-1/+1
Definition of function composition and properties.
2018-08-13rcompose doneJosh Chen1-1/+1
2018-08-12Commit before testing polymorphic equality eliminatorJosh Chen1-14/+13
2018-08-07Old application syntax incompatible with EisbachJosh Chen1-14/+14
2018-08-07Experiment with polymorphic dependent eliminators, i.e. we leave type and ↵Josh Chen1-9/+9
type family decorations implicit.
2018-08-06Partway through changing function application syntax style.Josh Chen1-7/+9
2018-08-04Reorganize theoriesJosh Chen1-18/+21
2018-07-12Unit and Null types. Methods.Josh Chen1-0/+13
2018-07-11Universes implemented. Type rules modified accordingly. No more automatic ↵Josh Chen1-16/+8
derivation of "A:U" from "a:A".
2018-07-07Library snapshot. Methods written, everything nicely organized.Josh Chen1-1/+2
2018-07-06Remove extra attributes for elimination rules, unneeded for now.Josh Chen1-1/+0
2018-07-06Added attributes to type elimination rules, not sure if these will actually ↵Josh Chen1-0/+2
be needed or useful later. Added [comp] attribute to be used by simplification met methods.
2018-07-04Trivial changesJosh Chen1-6/+7
2018-07-03Refactor HoTT_Methods.thy, proved more stuff with new methods.Josh Chen1-4/+4
2018-07-03Rewrote methods: wellformed now two lines, uses named theorems. New, more ↵Josh Chen1-1/+1
powerful derive method. Used these to rewrite proofs.
2018-06-30Add Pair_introJosh Chen1-0/+7
2018-06-27Move projection function definitions out of Sum.thyJosh Chen1-170/+1
2018-06-18Dependent projection properties done.Josh Chen1-27/+58
2018-06-18Fixed wrong definition of snd_dep. Proved projection property of snd_dep. ↵Josh Chen1-16/+81
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 Chen1-18/+31
simplifier. Proved simplification rule for dependent fst.
2018-06-17Proof of projection functions now harder. Should look up automation methods.Josh Chen1-8/+14
2018-06-17Eliminators must be completely parametrized at the meta-level.Josh Chen1-14/+5
2018-06-15projectionsJosh Chen1-13/+28
2018-06-12Type rules now have \"all\" premises explicitly stated, matching the ↵Josh Chen1-31/+62
formulation in the HoTT book.
2018-06-09Reorganize codeJosh Chen1-0/+78
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