for ordered_cancel_comm_monoid. The change to partial_order, with a derived lt relation, makes the lt axioms of ordered groups derivable with no additional assumptions.
closes#1175
The types `string_imp` and `string.iterator_imp` were supposed to be
marked private, but we cannot do it because we need to provide
`string_imp.mk`, `string_imp.cases_on`, `string.iterator_imp.mk` and
`string.iterator_imp.cases_on` in the VM since we use a different
internal representation. Note that marking them as private does not
work since users can still access `string_imp.cases_on` using
meta-programming.
So, we need better support for private declarations.
Missing feature, char literals do not support non ASCII values.
That is, in the current implementation, we cannot write 'α'.
This will be implemented in the future.
The VM native implementation does not behave correctly for huge
strings (i.e., strings with more than 4G characters).
The problem is that the current implementation relies on
```
size_t force_to_size_t(vm_obj const & o, size_t def)
```
We may also have overflow problems in the string.iterator implementation
code. This is not a big deal right now, since I doubt we will try
to process string with more than 2^32 characters.
@Kha the `core_lib` and tests seem to be working correctly, but
we need more tests.
closes#1814
@kenmcmil: the error messages will now list aliased variables.
For example, in your file, the new error message is:
```
invalid type ascription, term has type
triple (ctxpre c' s_1 ∧ ctxpre c'_1 s_1) (bndngapp b s_1) (ctxpost c' s_1 ∧ ctxpost c'_1 s_1)
but is expected to have type
triple (ctxpre c' s_1 ∧ ctxpre c'_1 s_1) (bndngapp b s_1) (ctxpost c' s_1 ∧ ctxpost c'_1 s_1)
types contain aliased name(s): c'
remark: the tactic `dedup` can be used to rename aliases
state:
...
```
This is the equivalent of the `ginduction` tactic for cases, but rolled into the same syntax as `cases` itself. `cases h : term` is the syntax, and it will introduce a hypothesis `h : term = C a b...` demonstrating that the original term is equal to the current case.
I considered the possibility of calling `injection` on the generated equalities, but it's useless in the casaes when the equality carries some real information (such as `f x = C1 a`), and when the input term is a local constant, `injection` will do subst, which will undo the effect of the `cases`. If the input term is a constructor, then `injection` would do something interesting, but you would never want to call `cases` in this case because the constructor is already exposed.
@kha I'm trying to improve the equation compiler. I have added a
preprocessing step, and got the following wierd output when testing
tests/lean/interactive/info_goal.lean
```
> {"record":{"doc":"This tactic applies to any goal. It gives directly the exact proof\nterm of the goal. Let `T` be our goal, let `p` be a term of type `U` then\n`exact p` succeeds iff `T` and `U` are definitionally equal.","source":,"state":"⊢ ℕ → ℕ","tactic_params":["<error while executing interactive.param_desc: don't know how to pretty print lean.parser.pexpr 2>"],"text":"exact","type":"interactive.parse interactive.types.texpr → tactic unit"},"response":"ok","seq_num":4}
```
The problem seems to be the pattern
`(parser.pexpr)
which is sugar for
`(parser.pexpr std.prec.max)
and will not match `(pexpr 2)`
So, I fixed it by replacing the pattern with `(parser.pexpr %%v).
However, it is not clear to me why it was working before.
Any ideas?
To make the equation compiler more convenient to use, we will add a
couple of preprocessing steps.
This commit adds the first one of them. In this step, we use
type inference to refine pattern variables, and we relax the
restrictions on inaccessible annotations.
We will also add a preprocessing step that implements the "complete
transition" step before we execute the elim_match step.