The internal to core translation was removing implicit arguments from
function definitions and applications. This is incorrect as the implicit
bindings are required when translating the following (in `csuc`, the
binding of the implicit argument is required in an application on the
rhs):
```
Num : Type;
Num := {A : Type} → (A → A) → A → A;
csuc : Num → Num;
csuc n {_} f := f ∘ n {_} f;
```
Apart from removing this filter from function and application
translation, this required the following changes:
ConstructorInfo:
The _constructorArgsNum field must include the number of type parameters
of its inductive type.
PatternConstructorApp:
The pattern arguments must include wildcards for the implicit type
parameters passed to the constructor.
BuiltinIf:
The BuiltinIf expression is passed an implicit type argument that must
be removed when translating to Core if.
LitString:
A literal string is a function with an implcit type argument. So this
must be a translated to a lambda where the type argument is ignored.
Fixes https://github.com/anoma/juvix/issues/1714
A lambda:
```
\ { v0 := b0 ; v1 := b1 ; ... ; vn := bn }
```
should be translated to:
```
λ? (λ? ... (λ? (match ?$0, ?$1, ... , ?$n with ...)))
```
i.e the de Brujin index of the values in the match always start from 0.
Fixes: https://github.com/anoma/juvix/issues/1695
This PR implements `printString` and `printBool` builtins for the legacy
C backend. Previously IO for strings was done using compile blocks with
included C code.
Fixes https://github.com/anoma/juvix/issues/1696
* Support inductive type and universe expressions
* Support function type expressions
* Add type information to Core function and constructor nodes
* Remove unused do
