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Proof step 83 from proof validrefs-putbyte-field (previous step)

validrefs(str, r0 ' + refs1, ty, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), ∀ by, fieldvar, class, r, st, ty, str, refs0. # refs0 < # (r0 + refs1) → ( validrefs(str, refs0, ty, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]) → refs0 = [] ∨ junkref(str, refs0 .first, st) ∨ validrefs(str, refs0, ty, st)) ⊦ junkref(str, r0, st), validrefs(str, r0 ' + refs1, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 82:
¬ ( r0 ≠ jvmref ∧ ( ¬ is_valid_ref(str, r0, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]) ∨ ¬ (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- _type]) .type ≤ ty)), validrefs(str, r0 ' + refs1, ty, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), ∀ by, fieldvar, class, r, st, ty, str, refs0. # refs0 < # (r0 + refs1) → ( validrefs(str, refs0, ty, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]) → refs0 = [] ∨ junkref(str, refs0 .first, st) ∨ validrefs(str, refs0, ty, st)) ⊦ junkref(str, r0, st), validrefs(str, r0 ' + refs1, ty, st)

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)], ty, refs1, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)], ty, refs1, r0, str)]]