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* 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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* Decided on a new proper scheme for type rules using the idea of implicit ↵Josh Chen2018-06-173-24/+45
| | | | well-formed contexts and guaranteed conclusion well-formedness. Product type rules now follow this scheme.
* projectionsJosh Chen2018-06-153-40/+44
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* Type rules now have \"all\" premises explicitly stated, matching the ↵Josh Chen2018-06-126-135/+215
| | | | formulation in the HoTT book.
* Reorganize codeJosh Chen2018-06-096-257/+303
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* Symmetry and transitivity done.Josh Chen2018-06-072-3/+27
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* But also looser than PairJosh Chen2018-06-071-1/+1
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* Nondependent function arrow should bind tighter than the Pi former, but ↵Josh Chen2018-06-072-26/+48
| | | | looser than equality.
* Code formattingJosh Chen2018-06-052-41/+56
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* Proved that the inductor on Sum has the correct type.Josh Chen2018-06-052-44/+81
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* Dependent sum done, I think.Josh Chen2018-06-052-28/+42
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* Prod_comp should have a type constraint. This also fixes a false proof for ↵Josh Chen2018-06-042-36/+69
| | | | the dependent sum projection functions.
* Should be final version of Prod. Theorems proving stuff about currying. ↵Josh Chen2018-06-012-41/+65
| | | | Rules for Sum, going to change them to use object-level arguments more.
* New type rules for dependent product and sum.Josh Chen2018-05-302-21/+33
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* Fixed dependent product rules, hopefully final now.Josh Chen2018-05-302-75/+29
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* More rigorous rules for Product type. Propositions and proofs all working, ↵Josh Chen2018-05-292-24/+72
| | | | but have to think about maybe relaxing the computation rule, or else automating the currying of dependent functions.
* Dependent product rules done and proofs of typing properties so far work. ↵Josh Chen2018-05-282-64/+110
| | | | Starting on dependent sums.
* pre-system upgrade commitJosh Chen2018-05-233-93/+108
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* Added precedences. Need to figure out how to organize metatypes.Josh Chen2018-05-142-18/+33
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* Decided to go with no explicit type declarations in object-lambda ↵Josh Chen2018-05-102-25/+43
| | | | expressions. Everything in the proof stuff is working at the moment.
* InitJosh Chen2018-05-033-0/+135