Commit graph

4 commits

Author SHA1 Message Date
Leonardo de Moura
a35cce38b3 feat(frontends/lean): new semantics for "protected" declarations
closes #426
2015-02-11 14:09:25 -08:00
Leonardo de Moura
fca97d5bb2 feat(library/definitional): add brec_on construction, closes #272 2014-12-03 10:39:32 -08:00
Leonardo de Moura
6bc89f0916 feat(library/definitional): define ibelow and below
These are helper definitions for brec_on and binduction_on
2014-11-12 16:38:46 -08:00
Leonardo de Moura
463e70332d test(tests/lean/run): define brec_on and binduction_on for a reflexive type
We say an inductive type T is reflexive if it contains at least one constructor that
takes as an argument a function returning T.

For reflexive types it doesn't seen to be possible to define a single
brec_on that can eliminate to Type.{>=1} and Prop.
The universe level expressions get too complicated.
Even if we extend the universe constraint solver in the kernel, the
additional complexity might be a problem.

We workaround this issue by defining two versions of brec_on:
  - One (brec_on) that eliminates to Type.{>=1}, and
  - binduction_on that eliminates to Prop.

For non-reflexive types, we can combine both of them.
2014-11-12 10:52:32 -08:00