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Proof step 84 from proof junkrefs-put-refval-01 (previous step)

st[r0 -- _type] .type ≤ ty0, junkrefs(str, r1 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_obj(str, r1, st) ∨ is_array(str, r1, st), st[r1 -- _type] .type ≤ ty, ∀ str, ty, st, r0, fs, r. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r1 = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st), r ≠ r1 ∧ ¬ r ∈ acc

User applied rule cut formula

And obtained the following new goals

Proof step 53:
r = r1, st[r0 -- _type] .type ≤ ty0, junkrefs(str, r1 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_obj(str, r1, st) ∨ is_array(str, r1, st), st[r1 -- _type] .type ≤ ty, ∀ str, ty, st, r0, fs, r. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r1 = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st), r ≠ r1 ∧ ¬ r ∈ acc
Proof step 83:
st[r0 -- _type] .type ≤ ty0, junkrefs(str, r1 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_obj(str, r1, st) ∨ is_array(str, r1, st), st[r1 -- _type] .type ≤ ty, ∀ str, ty, st, r0, fs, r. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r = r1, r1 = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st), r ≠ r1 ∧ ¬ r ∈ acc

Rule argument

[fma-arg: r = r1]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (r = r1)]]