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Proof step 36 from proof validrefs-lastelem (previous step)

is_obj(str, r1, st) ∧ st[r1 -- _type] .type ≤ ty0, st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r0 -- mkfs(class0, ty1, fieldvar0) '] = refval(r1), is_obj(str, r1, st), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r1 ' + refs0 + r ', ty0, st), mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), st[r1 -- _type] .type ≤ ty0, st[r1 -- _type] .type ≤ ty1, refs0 = [] ∨ mkfs(class1, ty2, fieldvar1) ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- mkfs(class1, ty2, fieldvar1) ']) ∧ refs0 .first = st[r1 -- mkfs(class1, ty2, fieldvar1) '] .refval ∧ validrefs(str, refs0, ty2, st) ⊦ r0 = jvmref, r1 = jvmref, has_reffield((r1 ' + refs0) .last, st), refs0 = [] ∨ (∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ refs0 .first = st[r1 -- fs '] .refval ∧ validrefs(str, refs0, fs .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r0 -- mkfs(class0, ty1, fieldvar0) '] = refval(r1), refs0 .first = st[r1 -- mkfs(class1, ty2, fieldvar1) '] .refval, is_obj(str, r1, st), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r1 ' + refs0 + r ', ty0, st), mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), st[r1 -- _type] .type ≤ ty0, st[r1 -- _type] .type ≤ ty1, mkfs(class1, ty2, fieldvar1) ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- mkfs(class1, ty2, fieldvar1) ']), validrefs(str, refs0, ty2, st) ⊦ r0 = jvmref, r1 = jvmref, refs0 = [], has_reffield(refs0 .last, st), ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ refs0 .first = st[r1 -- fs '] .refval ∧ validrefs(str, refs0, fs .type, st)

Rule argument

[emptyarg]

Additional information

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