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Proof step 5 from proof putar-inref (previous step)

⊦ r = r0, r0 -- sk ∈ putArray(vals, r, j, st) ↔ r0 -- sk ∈ st

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ putArray([], r, i, st) = st
Proof step 4:
∀ r, r0, sk, j, st. r = r0 ∨ (r0 -- sk ∈ putArray(vals0, r, j, st) ↔ r0 -- sk ∈ st) ⊦ r = r0 ∨ (r0 -- sk ∈ putArray(val + vals0, r, j, st) ↔ r0 -- sk ∈ st)

Rule argument

[VARWITHFMAVARSARG : vals, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : javavalues generated by [], +;])]]