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Proof step 4 from proof fits-storekeys-one (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
st[r -- sk] = refval(r0), fits(r, sk ', st) ↔ r ≠ jvmref ∧ (is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval) ⊦ fits(r, sk ', st) ↔ r ≠ jvmref ∧ (is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st[r -- _length] .intval ≤ sk .index)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]