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Proof step 42 from proof junkrefs-subset (previous step)

st1[r -- i '] = refval(r0), r -- _length ∈ st, r -- _type ∈ st, junkrefs(str, r0 ' + refs, st[r -- _type] .type .type, st1), i < st[r -- _length] .intval, is_array(str, r, st), 0 ≤ i, st[r -- _type] .type ≤ ty, st ⊆ st1, r ∈ st, 0 < st[r -- _length] .intval, ∀ str0, ty0, st0, st2. junkrefs(str0, r0 ' + refs, ty0, st0) ∧ st2 ⊆ st0 → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, is_referencevalue(st[r -- i ']) ∧ r0 = st[r -- i '] .refval ∧ junkrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 39:
⊦ rk ∈ st ∧ st ⊆ st1 → st1[rk] = st[rk]
Proof step 41:
r -- i ' ∈ st ∧ st ⊆ st1, st[r -- i '] = refval(r0), r -- _length ∈ st, r -- _type ∈ st, junkrefs(str, r0 ' + refs, st[r -- _type] .type .type, st1), i < st[r -- _length] .intval, is_array(str, r, st), 0 ≤ i, st[r -- _type] .type ≤ ty, st ⊆ st1, r ∈ st, 0 < st[r -- _length] .intval, ∀ str0, ty0, st0, st2. junkrefs(str0, r0 ' + refs, ty0, st0) ∧ st2 ⊆ st0 → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, is_referencevalue(st[r -- i ']) ∧ r0 = st[r -- i '] .refval ∧ junkrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st)

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ r -- i ' ∈ st ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ r ≠ jvmref → ¬ is_array(str, r, st)])], [EXTRATERMS : (r -- i ', st, st1)]]