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Proof step 38 from proof junkrefs-put-badarrayindex (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 19:
is_obj(str, r, st), junkrefs(str, r ' + acc, ty, st[r0 -- i ', val]), st[r -- _type] .type ≤ ty, ∀ str, ty, st, r0, i, val. junkrefs(str, acc, ty, st[r0 -- i ', val]) → junkrefs(str, acc, ty, st) ∨ is_array(str, r0, st) ⊦ r = jvmref, is_array(str, r0, st), junkrefs(str, r ' + acc, ty, st)
Proof step 37:
is_array(str, r, st), junkrefs(str, r ' + acc, ty, st[r0 -- i ', val]), st[r -- _type] .type ≤ ty, ∀ str, ty, st, r0, i, val. junkrefs(str, acc, ty, st[r0 -- i ', val]) → junkrefs(str, acc, ty, st) ∨ is_array(str, r0, st) ⊦ r = jvmref, is_array(str, r0, st), junkrefs(str, r ' + acc, ty, st)

Rule argument

[CASEDARG : pos: left 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]