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Proof step 51 from proof junkrefs-put-notin (previous step)

is_obj(str, r0, st) ∨ is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r, sk, val. (junkrefs(str, acc, ty, st[r -- sk, val]) ↔ junkrefs(str, acc, ty, st)) ∨ r ∈ acc ⊦ r0 = jvmref, junkrefs(str, r0 ' + acc, ty, st[r -- sk, val]) ↔ junkrefs(str, r0 ' + acc, ty, st), r = r0, r ∈ acc

User applied rule case distinction

And obtained the following new goals

Proof step 29:
is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r, sk, val. (junkrefs(str, acc, ty, st[r -- sk, val]) ↔ junkrefs(str, acc, ty, st)) ∨ r ∈ acc ⊦ r0 = jvmref, junkrefs(str, r0 ' + acc, ty, st[r -- sk, val]) ↔ junkrefs(str, r0 ' + acc, ty, st), r = r0, r ∈ acc
Proof step 50:
is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r, sk, val. (junkrefs(str, acc, ty, st[r -- sk, val]) ↔ junkrefs(str, acc, ty, st)) ∨ r ∈ acc ⊦ r0 = jvmref, junkrefs(str, r0 ' + acc, ty, st[r -- sk, val]) ↔ junkrefs(str, r0 ' + acc, ty, st), r = r0, r ∈ acc

Rule argument

[CASEDARG : pos: left 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]