lean4-htt/tests/elab/3458_1.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

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/- Ensure that turning off `autoPromoteIndices` stops indices
from being promoted to parameters in inductive types.
Because free variables aren't allowed in parameters of nested appearances,
it is sometimes desirable for fixed indices to not be promoted to parameters.
See `IInterp`.
-/
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)
set_option inductive.autoPromoteIndices false
inductive IInterp {I} (ζ : ISignature.{u,v} I) (P : I → Type w) : I → Type (max u v w) where
| mk :{i : I} → (s : ζ.symbols i) → All P (ζ.indices s) → IInterp ζ P i
notation:max "I⟦ " ζ " ⟧" => IInterp ζ
inductive Iμ {I : Type u} (ζ : ISignature.{u,v} I) : I → Type (max u v) where
| mk : (i : I) → I⟦ ζ ⟧ (Iμ ζ) i → Iμ ζ i