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Proof step 57 from proof junkrefs-subset (previous step)

junkrefs(str, r ' + acc, ty, st1), st ⊆ st1, is_obj(str, r, st) ∨ is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, ty, st1, st. junkrefs(str, acc, ty, st1) ∧ st ⊆ st1 → junkrefs(str, acc, ty, st) ⊦ r = jvmref, junkrefs(str, r ' + acc, ty, st)

User applied rule case distinction

And obtained the following new goals

Proof step 30:
is_obj(str, r, st), junkrefs(str, r ' + acc, ty, st1), st ⊆ st1, st[r -- _type] .type ≤ ty, ∀ str, ty, st1, st. junkrefs(str, acc, ty, st1) ∧ st ⊆ st1 → junkrefs(str, acc, ty, st) ⊦ r = jvmref, junkrefs(str, r ' + acc, ty, st)
Proof step 56:
is_array(str, r, st), junkrefs(str, r ' + acc, ty, st1), st ⊆ st1, st[r -- _type] .type ≤ ty, ∀ str, ty, st1, st. junkrefs(str, acc, ty, st1) ∧ st ⊆ st1 → junkrefs(str, acc, ty, st) ⊦ r = jvmref, junkrefs(str, r ' + acc, ty, st)

Rule argument

[CASEDARG : pos: left 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]