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Proof step 6 from proof mode (conclusion)

⊦ _mode ∈ addarray(r, ty, i, st) ↔ _mode ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ rk ∈ st → rk ∈ addarray(r, ty, i, st)
Proof step 5:
_mode ∈ addarray(r, ty, i, st) ⊦ _mode ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]