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* Prod.thy now has the correct definitional equality structure rule. ↵Josh Chen2018-08-161-17/+11
| | | | Definition of function composition and properties.
* Rename to distinguish function and path composition; function composition ↵Josh Chen2018-08-151-8/+18
| | | | proofs, which have issues...
* Basic compute methodJosh Chen2018-08-151-1/+1
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* Tweak proof methods, some type rules; add HoTT Book examplesJosh Chen2018-08-151-1/+1
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* Function composition, rename path composition to differentiate the two.Josh Chen2018-08-151-0/+16
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* rcompose doneJosh Chen2018-08-131-14/+8
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* Commit before testing polymorphic equality eliminatorJosh Chen2018-08-121-10/+12
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* Old application syntax incompatible with EisbachJosh Chen2018-08-071-6/+6
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* Experiment with polymorphic dependent eliminators, i.e. we leave type and ↵Josh Chen2018-08-071-5/+5
| | | | type family decorations implicit.
* Partway through changing function application syntax style.Josh Chen2018-08-061-17/+17
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* Reorganize theoriesJosh Chen2018-08-041-26/+30
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* Unit and Null types. Methods.Josh Chen2018-07-121-0/+19
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* Universes implemented. Type rules modified accordingly. No more automatic ↵Josh Chen2018-07-111-4/+4
| | | | derivation of "A:U" from "a:A".
* Library snapshot. Methods written, everything nicely organized.Josh Chen2018-07-071-0/+1
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* Remove extra attributes for elimination rules, unneeded for now.Josh Chen2018-07-061-2/+1
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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 Chen2018-07-041-1/+1
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* Rewrote methods: wellformed now two lines, uses named theorems. New, more ↵Josh Chen2018-07-031-2/+1
| | | | powerful derive method. Used these to rewrite proofs.
* Proving path composition. Need to set up the Simplifier to simplify ↵Josh Chen2018-06-301-0/+1
| | | | application of object-lambdas to arguments.
* Finished proofs of projectionsJosh Chen2018-06-301-1/+1
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* Fixed wrong definition of snd_dep. Proved projection property of snd_dep. ↵Josh Chen2018-06-181-5/+13
| | | | Added type formation rules expressing necessity of the conditions.
* Removed all [simp] attributes, these will be added later when I set up the ↵Josh Chen2018-06-181-12/+19
| | | | simplifier. Proved simplification rule for dependent fst.
* Decided on a new proper scheme for type rules using the idea of implicit ↵Josh Chen2018-06-171-1/+1
| | | | well-formed contexts and guaranteed conclusion well-formedness. Product type rules now follow this scheme.
* Type rules now have \"all\" premises explicitly stated, matching the ↵Josh Chen2018-06-121-6/+13
| | | | formulation in the HoTT book.
* Reorganize codeJosh Chen2018-06-091-0/+48