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Proof step 52 from proof junkrefs-notin (previous step)

is_obj(str, r0, st) ∨ is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ junkrefs(str, (r0 ' + acc) + r ' + refs0, ty, st) ↔ junkrefs(str, (r0 ' + acc) + r ', ty, st), r0 = jvmref, r ∈ st

User applied rule case distinction

And obtained the following new goals

Proof step 30:
is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ junkrefs(str, (r0 ' + acc) + r ' + refs0, ty, st) ↔ junkrefs(str, (r0 ' + acc) + r ', ty, st), r0 = jvmref, r ∈ st
Proof step 51:
is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ junkrefs(str, (r0 ' + acc) + r ' + refs0, ty, st) ↔ junkrefs(str, (r0 ' + acc) + r ', ty, st), r0 = jvmref, r ∈ st

Rule argument

[CASEDARG : pos: left 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]