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- [x] the simple lambda calculus: implement `execute`
- [x] to lose my sanity: implement `parse`
-- [ ] bidirectional typechecking: implement `infer` and `check`
+- [x] bidirectional typechecking: implement `infer` and `check`
- [ ] simple effects: extend `ast`
- [ ] type classes: implement `monomorphize`
-- [ ] to be fancy: implement `parse_file`
+- [x] to be fancy: implement `parse_file`
- [ ] extend to additional basic types: implement `cast`
- [ ] extend to complex types
- [ ] testtesttest