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Proof step 13 from proof fits-append (previous step)

st[r -- sk] = refval(r0), is_referencevalue(st[r -- sk]), ∀ r, sks0, st. fits(r, sks1 + sks0, st) ↔ fits(r, sks1, st) ∧ fits(st[r -- sks1] .refval, sks0, st), is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class) ⊦ sks1 = [], (is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval) ∧ fits(r0, sks1 + sks0, st) ↔ (is_arraytype(st[r -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st[r -- _length] .intval ≤ sk .index) ∧ fits(r0, sks1, st) ∧ fits(st[r0 -- sks1] .refval, sks0, st), r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
st[r -- sk] = refval(r0), is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), ∀ r, sks0, st. fits(r, sks1 + sks0, st) ↔ fits(r, sks1, st) ∧ fits(st[r -- sks1] .refval, sks0, st) ⊦ r = jvmref, (is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval) ∧ fits(r0, sks1 + sks0, st) ↔ (is_arraytype(st[r -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st[r -- _length] .intval ≤ sk .index) ∧ fits(r0, sks1, st) ∧ fits(st[r0 -- sks1] .refval, sks0, st), sks1 = []

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]