lean4-htt/tests/lean/run/3458_2.lean
2024-05-06 05:58:15 +00:00

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/- Ensure that non-fixed indices don't get mistakenly promoted to parameter
See issue `https://github.com/leanprover/lean4/issues/3458`
-/
set_option autoImplicit false
universe u v w
structure ISignature (I : Type u) : Type (max u v + 1) where
symbols : I → Type v
indices : {i : I} → symbols i → List I
inductive All {I : Type u} (P : I → Type v) : List I → Type (max u v) where
| nil : All P []
| cons {x xs}: P x → All P xs → All P (x :: xs)
inductive Iμ {I : Type u} (ζ : ISignature.{u,v} I) : I → Type (max u v) where
| mk : (i : I) → (s : ζ.symbols i) → All (Iμ ζ) (ζ.indices s) → Iμ ζ i