Prerequisites

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• Reduce the issue to a minimal, self-contained, reproducible test case.
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Description

@[init] declarations are not run in dependency order but by order on declaration names, producing the error cannot evaluate `[init]` declaration 'a' in the same module sometimes when two init declarations depend on each other.

Context

https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Cannot.20evaluation.20.5Binit.5D.20declaration.20in.20same.20module/near/536828403
and
https://leanprover.zulipchat.com/#narrow/channel/428973-nightly-testing/topic/Mathlib.20status.20updates/near/535934676

Steps to Reproduce

1. Create two files Foo.lean and Bar.lean
2. Import Foo in Bar.lean
3. Put this into Foo.lean:

   def a_init : IO Nat :=
     pure 5
   
   @[init a_init]
   opaque a : Nat
   
   def b_init : IO Nat :=
     pure (a + 7)
   
   @[init b_init]
   opaque b : Nat

4. Reload Bar.lean
5. Put this into Foo.lean:

   def b_init : IO Nat :=
     pure 5
   
   @[init b_init]
   opaque b : Nat
   
   def a_init : IO Nat :=
     pure (b + 7)
   
   @[init a_init]
   opaque a : Nat

6. Reload Bar.lean

Expected behavior: The initializers are run in dependency order and thus both variants work, regardless of naming.

Actual behavior: Only the second one works because the order depends on the names and not on dependencies.

Versions

Lean 4.24.0-nightly-2025-08-29

Impact

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