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Proof step 30 from proof validrefs-putbyte (previous step)

is_array(str, r0, st), okbytearray(r, st), st[r0 -- _type] .type ≤ ty, ∀ by, i, ty, str, st, r, refs1. # refs1 < # (r0 ' + []) → (okbytearray(r, st) ∧ validrefs(str, refs1, ty, st) → validrefs(str, refs1, ty, st[r -- i ', byteval(by)])) ⊦ r0 = jvmref, validrefs(str, r0 ', ty, st[r -- i ', byteval(by)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 28:
⊦ validrefs(str, r ', ty, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty
Proof step 29:
is_array(str, r0, st), okbytearray(r, st), st[r0 -- _type] .type ≤ ty, ∀ by, i, ty, str, st, r, refs1. # refs1 < # (r0 ' + []) → (okbytearray(r, st) ∧ validrefs(str, refs1, ty, st) → validrefs(str, refs1, ty, st[r -- i ', byteval(by)])) ⊦ r0 = jvmref, r0 = jvmref ∨ r0 ≠ jvmref ∧ is_valid_ref(str, r0, st[r -- i ', byteval(by)]) ∧ (st[r -- i ', byteval(by)][r0 -- _type]) .type ≤ ty

Rule argument

[crewrite-arg: validrefs-one , F , [st, ty, r, str] → [st[r -- i ', byteval(by)], ty, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- i ', byteval(by)], ty, r0, str)]]