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Proof step 14 from proof validrefs-addarray (previous step)

is_obj(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty, newref(r, st), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), ∀ str, ty, r, ty0, vals, st. validrefs(str, acc, ty, addarray(r, ty0, vals, st)) ∧ newref(r, st) → r = jvmref ∨ r ∈ acc ∨ validrefs(str, acc, ty, st), acc = [] ∨ mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- mkfs(class, ty1, fieldvar) ']) ∧ acc .first = st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ∧ validrefs(str, acc, ty1, addarray(r, ty0, vals, st)) ⊦ r = jvmref, r = r0, r0 = jvmref, r ∈ acc, acc = [] ∨ (∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ acc .first = st[r0 -- fs '] .refval ∧ validrefs(str, acc, fs .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
acc .first = st[r0 -- mkfs(class, ty1, fieldvar) '] .refval, newref(r, st), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty1, fieldvar) ']), validrefs(str, acc, ty1, addarray(r, ty0, vals, st)), ∀ str, ty, r, ty0, vals, st. validrefs(str, acc, ty, addarray(r, ty0, vals, st)) ∧ newref(r, st) → r = jvmref ∨ r ∈ acc ∨ validrefs(str, acc, ty, st) ⊦ r = jvmref, r = r0, r0 = jvmref, acc = [], r ∈ acc, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ acc .first = st[r0 -- fs '] .refval ∧ validrefs(str, acc, fs .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]