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Proof step 3 from proof ac-lookup-05 (previous step)

is_indexkey(sk) ⊦ (addclass(class, [], st)[r -- sk]) = st[r -- sk]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ addclass(class1, [], st) = st[jvmref -- mkfs(class1, void_type, `initstate' .field) ', initval(done)]
Proof step 2:
is_indexkey(sk) ⊦ (((r = jvmref ∧ sk = mkfs(class, void_type, `initstate' .field) ') ⊃ initval(done); st[r -- sk])) = st[r -- sk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))])]]