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Proof step 3 from proof normal-lookup (conclusion)

⊦ st0 = st[_out, val] ∧ normalmode(st) → normalmode(st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ normalmode(st[_out, val]) ↔ normalmode(st)
Proof step 2:
⊦ normalmode(st) → ¬ is_return_mode(st[_mode])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]