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* Prod.thy now has the correct definitional equality structure rule. ↵Josh Chen2018-08-161-1/+1
| | | | Definition of function composition and properties.
* rcompose doneJosh Chen2018-08-131-1/+1
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* Commit before testing polymorphic equality eliminatorJosh Chen2018-08-121-14/+13
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* Old application syntax incompatible with EisbachJosh Chen2018-08-071-14/+14
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* Experiment with polymorphic dependent eliminators, i.e. we leave type and ↵Josh Chen2018-08-071-9/+9
| | | | type family decorations implicit.
* Partway through changing function application syntax style.Josh Chen2018-08-061-7/+9
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* Reorganize theoriesJosh Chen2018-08-041-18/+21
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* Unit and Null types. Methods.Josh Chen2018-07-121-0/+13
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* Universes implemented. Type rules modified accordingly. No more automatic ↵Josh Chen2018-07-111-16/+8
| | | | derivation of "A:U" from "a:A".
* Library snapshot. Methods written, everything nicely organized.Josh Chen2018-07-071-1/+2
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* Remove extra attributes for elimination rules, unneeded for now.Josh Chen2018-07-061-1/+0
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* Added attributes to type elimination rules, not sure if these will actually ↵Josh Chen2018-07-061-0/+2
| | | | be needed or useful later. Added [comp] attribute to be used by simplification met methods.
* Trivial changesJosh Chen2018-07-041-6/+7
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* Refactor HoTT_Methods.thy, proved more stuff with new methods.Josh Chen2018-07-031-4/+4
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* Rewrote methods: wellformed now two lines, uses named theorems. New, more ↵Josh Chen2018-07-031-1/+1
| | | | powerful derive method. Used these to rewrite proofs.
* Add Pair_introJosh Chen2018-06-301-0/+7
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* Move projection function definitions out of Sum.thyJosh Chen2018-06-271-170/+1
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* Dependent projection properties done.Josh Chen2018-06-181-27/+58
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* Fixed wrong definition of snd_dep. Proved projection property of snd_dep. ↵Josh Chen2018-06-181-16/+81
| | | | Added type formation rules expressing necessity of the conditions.
* Removed all [simp] attributes, these will be added later when I set up the ↵Josh Chen2018-06-181-18/+31
| | | | simplifier. Proved simplification rule for dependent fst.
* Proof of projection functions now harder. Should look up automation methods.Josh Chen2018-06-171-8/+14
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* Eliminators must be completely parametrized at the meta-level.Josh Chen2018-06-171-14/+5
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* projectionsJosh Chen2018-06-151-13/+28
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* Type rules now have \"all\" premises explicitly stated, matching the ↵Josh Chen2018-06-121-31/+62
| | | | formulation in the HoTT book.
* Reorganize codeJosh Chen2018-06-091-0/+78
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