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Proof step 58 from proof validrefs-putbyte-01 (previous step)

okbytearray(r, st), validrefs(str, r0 ' + refs0, ty, st[r -- i ', byteval(by)]), ∀ by, i, ty, str, st, r, refs1. # refs1 < # (r0 ' + refs0) → (okbytearray(r, st) ∧ validrefs(str, refs1, ty, st[r -- i ', byteval(by)]) → validrefs(str, refs1, ty, st)) ⊦ validrefs(str, r0 ' + refs0, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 57:
¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st[r -- i ', byteval(by)]) ∨ ¬ (st[r -- i ', byteval(by)][r0 -- _type]) .type ≤ ty)), okbytearray(r, st), validrefs(str, r0 ' + refs0, ty, st[r -- i ', byteval(by)]), ∀ by, i, ty, str, st, r, refs1. # refs1 < # (r0 ' + refs0) → (okbytearray(r, st) ∧ validrefs(str, refs1, ty, st[r -- i ', byteval(by)]) → validrefs(str, refs1, ty, st)) ⊦ validrefs(str, r0 ' + refs0, ty, st)

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [st[r -- i ', byteval(by)], ty, refs0, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- i ', byteval(by)], ty, refs0, r0, str)]]