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Proof step 33 from proof validrefs-prefix (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 19:
is_obj(str, r, st), validrefs(str, (r ' + acc) + refs0, ty, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, ty, st. validrefs(str, acc + refs0, ty, st) → validrefs(str, acc, ty, st) ⊦ r = jvmref, validrefs(str, r ' + acc, ty, st)
Proof step 32:
is_array(str, r, st), validrefs(str, (r ' + acc) + refs0, ty, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, ty, st. validrefs(str, acc + refs0, ty, st) → validrefs(str, acc, ty, st) ⊦ r = jvmref, validrefs(str, r ' + acc, ty, st)

Rule argument

[CASEDARG : pos: left 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]