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Proof step 12 from proof addarray-refs (previous step)

⊦ ∀ r0. r0 ∈ addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)]) .refs ↔ r0 ∈ st .refs ++ r

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
⊦ r0 ∈ addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)]) .refs ↔ r0 = r ∨ r0 ∈ st .refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ∈ rset ++ r0 ↔ r = r0 ∨ r ∈ rset])]]