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Proof step 23 from proof junkrefs-put-norefval-equiv (previous step)

acc = r0 + refs, r0 = st[r -- fs '] .refval, is_obj(str, r, st), is_obj(str, r, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), okval(st[r1 -- mkfs(class, ty0, fieldvar) '], ty0), r1 -- mkfs(class, ty0, fieldvar) ' ∈ st, okval(val, ty0), r1 ∈ st, fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), junkrefs(str, acc, fs .type, st), st[r -- _type] .type ≤ ty, ∀ st, r1, class, ty0, fieldvar, val, str, ty. okval(st[r1 -- mkfs(class, ty0, fieldvar) '], ty0) ∧ r1 -- mkfs(class, ty0, fieldvar) ' ∈ st ∧ okval(val, ty0) ∧ r1 ∈ st ∧ junkrefs(str, acc, ty, st) → mkfs(class, ty0, fieldvar) ' = _length ∨ ty0 = void_type ∨ is_referencevalue(val) ∨ junkrefs(str, acc, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]) ⊦ mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r = jvmref, acc = [], is_referencevalue(val), ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs ']) ∧ r0 = (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs ']) .refval ∧ junkrefs(str, acc, fs .type, st[r1 -- mkfs(class, ty0, fieldvar) ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
st[r -- _type] .type ≤ ty, is_obj(str, r, st), is_obj(str, r, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), okval(st[r1 -- mkfs(class, ty0, fieldvar) '], ty0), r1 -- mkfs(class, ty0, fieldvar) ' ∈ st, okval(val, ty0), r1 ∈ st, fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), junkrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st), ∀ st0, r0, class0, ty1, fieldvar0, val0, str0, ty2. okval(st0[r0 -- mkfs(class0, ty1, fieldvar0) '], ty1) ∧ r0 -- mkfs(class0, ty1, fieldvar0) ' ∈ st0 ∧ okval(val0, ty1) ∧ r0 ∈ st0 ∧ junkrefs(str0, st[r -- fs '] .refval ' + refs, ty2, st0) → mkfs(class0, ty1, fieldvar0) ' = _length ∨ ty1 = void_type ∨ is_referencevalue(val0) ∨ junkrefs(str0, st[r -- fs '] .refval ' + refs, ty2, st0[r0 -- mkfs(class0, ty1, fieldvar0) ', val0]) ⊦ mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r = jvmref, is_referencevalue(val), ∃ fs0. fs0 ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs0 ']) ∧ st[r -- fs '] .refval = (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs0 ']) .refval ∧ junkrefs(str, st[r -- fs '] .refval ' + refs, fs0 .type, st[r1 -- mkfs(class, ty0, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]