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Proof step 6 from proof validref-forward-array (previous step)

st0[r -- i '] = refval(r0), st0[r -- _type] .type = mkarraytype(ty0), ty0 ≤ ty, is_array(str, r, st0), i < st0[r -- _length] .intval, 0 ≤ i, 0 < st0[r -- _length] .intval, st0[r0 -- _type] .type ≤ ty0, validref(str, r0, ty0, st0), st0[r0 -- _type] .type ≤ ty ⊦ r = jvmref, r0 = jvmref, validref(str, r0, ty, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ validref(str, r, ty, st) ∧ ty ≤ ty0 → validref(str, r, ty0, st)

Rule argument

[crewrite-arg: validref-supertype , F , [str, r, ty, st, ty0] → [str, r0, ty0, st0, ty] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r0, ty0, st0, ty)]]