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Proof step 10 from proof junkrefs-put-array-norefval (previous step)

is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty, st[r -- mkfs(class, ty1, fieldvar) '] = refval(r2), junkrefs(str, r2 ' + refs, ty1, st[r1 -- i ', val]), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), okval(val, st[r1 -- _type] .type .type), is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ val0, st0, r0, str0, ty0, i0. okval(val0, st0[r0 -- _type] .type .type) ∧ junkrefs(str0, r2 ' + refs, ty0, st0[r0 -- i0 ', val0]) → is_referencevalue(val0) ∨ junkrefs(str0, r2 ' + refs, ty0, st0) ⊦ r = jvmref, r2 ' + refs ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ (r2 ' + refs) .first = st[r -- fs '] .refval ∧ junkrefs(str, r2 ' + refs, fs .type, st)), is_referencevalue(val)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r2), junkrefs(str, r2 ' + refs, ty1, st[r1 -- i ', val]), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), okval(val, st[r1 -- _type] .type .type), is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ val0, st0, r0, str0, ty0, i0. okval(val0, st0[r0 -- _type] .type .type) ∧ junkrefs(str0, r2 ' + refs, ty0, st0[r0 -- i0 ', val0]) → is_referencevalue(val0) ∨ junkrefs(str0, r2 ' + refs, ty0, st0) ⊦ r = jvmref, is_referencevalue(val), ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ r2 = st[r -- fs '] .refval ∧ junkrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]