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2018-08-18Move Empty and Unit types to their own theoriesJosh Chen1-19/+0
2018-08-18Reorganize methodsJosh Chen1-2/+2
2018-08-18Regrouping type rulesJosh Chen1-12/+12
2018-08-17Make function composition a definition instead of an axiomatization (should ↵Josh Chen1-9/+1
not need to worry about preconditions)
2018-08-16Prod.thy now has the correct definitional equality structure rule. ↵Josh Chen1-17/+11
Definition of function composition and properties.
2018-08-16Prod.thy now has the correct definitional equality structure rule. ↵Josh Chen1-17/+11
Definition of function composition and properties.
2018-08-15Rename to distinguish function and path composition; function composition ↵Josh Chen1-8/+18
proofs, which have issues...
2018-08-15Basic compute methodJosh Chen1-1/+1
2018-08-15Tweak proof methods, some type rules; add HoTT Book examplesJosh Chen1-1/+1
2018-08-15Function composition, rename path composition to differentiate the two.Josh Chen1-0/+16
2018-08-13rcompose doneJosh Chen1-14/+8
2018-08-12Commit before testing polymorphic equality eliminatorJosh Chen1-10/+12
2018-08-07Old application syntax incompatible with EisbachJosh Chen1-6/+6
2018-08-07Experiment with polymorphic dependent eliminators, i.e. we leave type and ↵Josh Chen1-5/+5
type family decorations implicit.
2018-08-06Partway through changing function application syntax style.Josh Chen1-17/+17
2018-08-04Reorganize theoriesJosh Chen1-26/+30
2018-07-12Unit and Null types. Methods.Josh Chen1-0/+19
2018-07-11Universes implemented. Type rules modified accordingly. No more automatic ↵Josh Chen1-4/+4
derivation of "A:U" from "a:A".
2018-07-07Library snapshot. Methods written, everything nicely organized.Josh Chen1-0/+1
2018-07-06Remove extra attributes for elimination rules, unneeded for now.Josh Chen1-2/+1
2018-07-06Added attributes to type elimination rules, not sure if these will actually ↵Josh Chen1-0/+2
be needed or useful later. Added [comp] attribute to be used by simplification met methods.
2018-07-04Trivial changesJosh Chen1-1/+1
2018-07-03Rewrote methods: wellformed now two lines, uses named theorems. New, more ↵Josh Chen1-2/+1
powerful derive method. Used these to rewrite proofs.
2018-06-30Proving path composition. Need to set up the Simplifier to simplify ↵Josh Chen1-0/+1
application of object-lambdas to arguments.
2018-06-30Finished proofs of projectionsJosh Chen1-1/+1
2018-06-18Fixed wrong definition of snd_dep. Proved projection property of snd_dep. ↵Josh Chen1-5/+13
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 Chen1-12/+19
simplifier. Proved simplification rule for dependent fst.
2018-06-17Decided on a new proper scheme for type rules using the idea of implicit ↵Josh Chen1-1/+1
well-formed contexts and guaranteed conclusion well-formedness. Product type rules now follow this scheme.
2018-06-12Type rules now have \"all\" premises explicitly stated, matching the ↵Josh Chen1-6/+13
formulation in the HoTT book.
2018-06-09Reorganize codeJosh Chen1-0/+48
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