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Proof step 23 from proof fits-superset (previous step)

st[r -- sk] = refval(r0), r ∈ st, sk ∈ instfields(st[r -- _type] .type .class), is_classtype(st[r -- _type] .type), fits(r0, sks0, st), st ⊆ st0, is_obj(str, r, st), r -- sk ∈ st, ∀ st, st0, r, str. st ⊆ st0 ∧ fits(r, sks0, st) → junkref(str, r, st) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st), (is_classtype(st0[r -- _type] .type) → sk ∈ instfields(st0[r -- _type] .type .class)) ∧ (is_arraytype(st0[r -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st0[r -- _length] .intval ≤ sk .index) ∧ fits(r0, sks0, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ rk ∈ st ∧ st ⊆ st1 → st1[rk] = st[rk]
Proof step 22:
r -- _type ∈ st ∧ st ⊆ st0, st[r -- sk] = refval(r0), r ∈ st, sk ∈ instfields(st[r -- _type] .type .class), is_classtype(st[r -- _type] .type), fits(r0, sks0, st), st ⊆ st0, is_obj(str, r, st), r -- sk ∈ st, ∀ st, st0, r, str. st ⊆ st0 ∧ fits(r, sks0, st) → junkref(str, r, st) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st), (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 ∧ ¬ st0[r -- _length] .intval ≤ sk .index) ∧ fits(r0, sks0, st0)

Rule argument

[speclemmaarg: ,rk ∈ st ∧ st ⊆ st1 → st1[rk] = st[rk] ,[rk, st, st1] → [r -- _type, st, st0] ,F ,store ,javastore-ostorea ,superset-elem-eq ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ ¬ r -- _type ∈ st → ¬ is_obj(str, r, st)])], [EXTRATERMS : (r -- _type, st, st0)]]