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Proof step 47 from proof junkrefs-addarray (previous step)

junkrefs(str, r ' + acc, ty, addarray(r0, ty0, vals, st)), newref(r0, st), is_obj(str, r, st) ∨ is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, ty, r0, ty0, vals, st. junkrefs(str, acc, ty, addarray(r0, ty0, vals, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, r0 = jvmref, junkrefs(str, r ' + acc, ty, st)

User applied rule case distinction

And obtained the following new goals

Proof step 26:
is_obj(str, r, st), junkrefs(str, r ' + acc, ty, addarray(r0, ty0, vals, st)), newref(r0, st), st[r -- _type] .type ≤ ty, ∀ str, ty, r0, ty0, vals, st. junkrefs(str, acc, ty, addarray(r0, ty0, vals, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, r0 = jvmref, junkrefs(str, r ' + acc, ty, st)
Proof step 46:
is_array(str, r, st), junkrefs(str, r ' + acc, ty, addarray(r0, ty0, vals, st)), newref(r0, st), st[r -- _type] .type ≤ ty, ∀ str, ty, r0, ty0, vals, st. junkrefs(str, acc, ty, addarray(r0, ty0, vals, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, r0 = jvmref, junkrefs(str, r ' + acc, ty, st)

Rule argument

[CASEDARG : pos: left 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]