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2018-08-17Change unnecessary axiomatization to a definitionJosh Chen1-2/+2
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.
2018-08-15Tweak proof methods, some type rules; add HoTT Book examplesJosh Chen1-6/+6
2018-08-14Well-formation rules are back in the methods; new theory synthesizing the ↵Josh Chen1-4/+2
natural number predecessor function.
2018-08-14Equality inverse and composition done. Cleaned up methods and method example ↵Josh Chen1-20/+12
theory.
2018-08-13rcompose doneJosh Chen1-6/+13
2018-08-12Commit before testing polymorphic equality eliminatorJosh Chen1-2/+43
2018-08-08Rewriting projection functionsJosh Chen1-208/+4
2018-08-07TweaksJosh Chen1-4/+3
2018-08-06Partway through changing function application syntax style.Josh Chen1-6/+22
2018-08-04Reorganize theoriesJosh Chen1-8/+22
2018-07-11Universes implemented. Type rules modified accordingly. No more automatic ↵Josh Chen1-8/+18
derivation of "A:U" from "a:A".
2018-07-09Pre-universe implementation commitJosh Chen1-25/+16
2018-07-07Library snapshot. Methods written, everything nicely organized.Josh Chen1-3/+32
2018-07-03Refactor HoTT_Methods.thy, proved more stuff with new methods.Josh Chen1-74/+30
2018-07-03Rewrote methods: wellformed now two lines, uses named theorems. New, more ↵Josh Chen1-27/+6
powerful derive method. Used these to rewrite proofs.
2018-06-30Finished proofs of projectionsJosh Chen1-20/+76
2018-06-28Proving theorems in Proj.thy in a simpler way with wellformedJosh Chen1-40/+23
2018-06-27Move projection function definitions out of Sum.thyJosh Chen1-61/+27
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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