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Proof step 7 from proof in-init-04 (conclusion)

⊦ r -- _type ∈ addarray(r0, vals, j, st) ↔ r -- _type ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ rk ∈ st → rk ∈ addarray(r, vals, j, st)
Proof step 6:
r -- _type ∈ addarray(r0, vals, j, st), r ∈ addarray(r0, vals, j, st) ⊦ r -- _type ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])]]