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Proof step 38 from proof validrefs-contains-null (previous step)

validrefs(str, (r ' + acc) + jvmref ' + 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 + jvmref ' + refs0, ty, st) → validrefs(str, acc + jvmref ', ty, st) ∧ refs0 = [] ⊦ r = jvmref, validrefs(str, (r ' + acc) + jvmref ', ty, st) ∧ refs0 = []

User applied rule case distinction

And obtained the following new goals

Proof step 22:
is_obj(str, r, st), validrefs(str, (r ' + acc) + jvmref ' + refs0, ty, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, ty, st. validrefs(str, acc + jvmref ' + refs0, ty, st) → validrefs(str, acc + jvmref ', ty, st) ∧ refs0 = [] ⊦ r = jvmref, validrefs(str, (r ' + acc) + jvmref ', ty, st) ∧ refs0 = []
Proof step 37:
is_array(str, r, st), validrefs(str, (r ' + acc) + jvmref ' + refs0, ty, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, ty, st. validrefs(str, acc + jvmref ' + refs0, ty, st) → validrefs(str, acc + jvmref ', ty, st) ∧ refs0 = [] ⊦ r = jvmref, validrefs(str, (r ' + acc) + jvmref ', ty, st) ∧ refs0 = []

Rule argument

[CASEDARG : pos: left 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]