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Author SHA1 Message Date
Joachim Breitner
f0a11b8864
fix: FunInd: support structural recursion on reflexive types (#4327)
types like
```
inductive Many (α : Type u) where
  | none : Many α
  | more : α → (Unit → Many α) → Many α
```
have a `.brecOn` only supports motives producing `Type u`, but not `Sort
u`, but our induction principles produce `Prop`. So the previous
implementation of functional induction would fail for functions that
structurally recurse over such types.

We recognize this case now and, rather hazardously, replace `.brecOn`
with `.binductionOn` (and thus `.below ` with `.ibelow` and `PProd` with
`And`). This assumes that these definitions are highly analogous.

This also improves the error message when realizing a reserved name
fails with an exception, by prepending
```
Failed to realize constant {id}:
```
to the error message.

Fixes #4320
2024-06-05 07:54:48 +00:00