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* Make function composition a definition instead of an axiomatization (should ↵Josh Chen2018-08-171-9/+1
| | | | not need to worry about preconditions)
* Change unnecessary axiomatization to a definitionJosh Chen2018-08-171-2/+2
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* Testing with the new theoryJosh Chen2018-08-171-29/+25
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* second testJosh Chen2018-08-161-0/+1
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* test new machineJosh Chen2018-08-161-0/+2
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* Some comments and reorganizationJosh Chen2018-08-162-24/+42
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* Merge branch 'master' of github.com:jaycech3n/HoTTJosh Chen2018-08-160-0/+0
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| * Prod.thy now has the correct definitional equality structure rule. ↵Josh Chen2018-08-1613-59/+105
| | | | | | | | Definition of function composition and properties.
* | Prod.thy now has the correct definitional equality structure rule. ↵Josh Chen2018-08-1613-59/+105
|/ | | | Definition of function composition and properties.
* Rename to distinguish function and path composition; function composition ↵Josh Chen2018-08-155-101/+93
| | | | proofs, which have issues...
* Basic compute methodJosh Chen2018-08-155-12/+45
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* Tweak proof methods, some type rules; add HoTT Book examplesJosh Chen2018-08-157-50/+87
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* Function composition, rename path composition to differentiate the two.Josh Chen2018-08-152-20/+36
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* Well-formation rules are back in the methods; new theory synthesizing the ↵Josh Chen2018-08-147-102/+174
| | | | natural number predecessor function.
* Equality inverse and composition done. Cleaned up methods and method example ↵Josh Chen2018-08-145-121/+215
| | | | theory.
* rcompose doneJosh Chen2018-08-137-78/+105
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* Commit before testing polymorphic equality eliminatorJosh Chen2018-08-129-56/+108
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* Rewriting projection functionsJosh Chen2018-08-082-211/+7
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* TweaksJosh Chen2018-08-072-4/+9
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* Old application syntax incompatible with EisbachJosh Chen2018-08-077-78/+74
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* Experiment with polymorphic dependent eliminators, i.e. we leave type and ↵Josh Chen2018-08-072-14/+14
| | | | type family decorations implicit.
* Partway through changing function application syntax style.Josh Chen2018-08-067-138/+206
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* CoproductJosh Chen2018-08-041-0/+61
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* Reorganize theoriesJosh Chen2018-08-045-100/+130
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* Unit and Null types. Methods.Josh Chen2018-07-125-19/+73
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* Universes implemented. Type rules modified accordingly. No more automatic ↵Josh Chen2018-07-117-70/+63
| | | | derivation of "A:U" from "a:A".
* Alternative implementation of universes using meta-level numerals.Josh Chen2018-07-111-32/+43
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* Pre-universe implementation commitJosh Chen2018-07-096-70/+104
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* Library snapshot. Methods written, everything nicely organized.Josh Chen2018-07-077-20/+45
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* Methods added and organized!Josh Chen2018-07-071-47/+40
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* Remove extra attributes for elimination rules, unneeded for now.Josh Chen2018-07-063-5/+2
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* Added attributes to type elimination rules, not sure if these will actually ↵Josh Chen2018-07-067-29/+110
| | | | be needed or useful later. Added [comp] attribute to be used by simplification met methods.
* Trivial changesJosh Chen2018-07-042-7/+8
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* Refactor HoTT_Methods.thy, proved more stuff with new methods.Josh Chen2018-07-039-205/+133
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* Rewrote methods: wellformed now two lines, uses named theorems. New, more ↵Josh Chen2018-07-036-121/+117
| | | | powerful derive method. Used these to rewrite proofs.
* Proving path composition. Need to set up the Simplifier to simplify ↵Josh Chen2018-06-302-10/+29
| | | | application of object-lambdas to arguments.
* Fix precedence of =Josh Chen2018-06-301-1/+1
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* EqualityJosh Chen2018-06-303-56/+131
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* Finished proofs of projectionsJosh Chen2018-06-302-21/+77
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* Add Pair_introJosh Chen2018-06-301-0/+7
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* Proving theorems in Proj.thy in a simpler way with wellformedJosh Chen2018-06-281-40/+23
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* wellformed method works!!!Josh Chen2018-06-281-6/+6
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* wellformed method to automatically prove wellformed judgments derivable from ↵Josh Chen2018-06-271-0/+76
| | | | a wellformed judgment
* Move projection function definitions out of Sum.thyJosh Chen2018-06-272-170/+197
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* Library organization and formattingJosh Chen2018-06-274-9/+10
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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 Chen2018-06-183-23/+95
| | | | Added type formation rules expressing necessity of the conditions.
* Removed all [simp] attributes, these will be added later when I set up the ↵Josh Chen2018-06-183-31/+51
| | | | simplifier. Proved simplification rule for dependent fst.
* Proof of projection functions now harder. Should look up automation methods.Josh Chen2018-06-172-9/+15
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* Eliminators must be completely parametrized at the meta-level.Josh Chen2018-06-171-14/+5
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