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Proof step 47 from proof validrefs-not-contains (previous step)

validrefs(str, r ' + r0 ', ty, st), is_obj(str, r, st) ∨ is_array(str, r, st), st[r -- _type] .type ≤ ty ⊦ r0 = jvmref, r = r0, r = jvmref, contains(str, st[r -- _type] .type, st[r0 -- _type] .type)

User applied rule case distinction

And obtained the following new goals

Proof step 29:
is_obj(str, r, st), validrefs(str, r ' + r0 ', ty, st), st[r -- _type] .type ≤ ty ⊦ r0 = jvmref, r = r0, r = jvmref, contains(str, st[r -- _type] .type, st[r0 -- _type] .type)
Proof step 46:
is_array(str, r, st), validrefs(str, r ' + r0 ', ty, st), st[r -- _type] .type ≤ ty ⊦ r0 = jvmref, r = r0, r = jvmref, contains(str, st[r -- _type] .type, st[r0 -- _type] .type)

Rule argument

[CASEDARG : pos: left 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]