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Proof step 45 from proof validrefs-putbyte-field (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 44:
⊦ validrefs(str, r ', ty, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty

Rule argument

[crewrite-arg: validrefs-one, F, [st, ty, r, str] → [st, ty, r0, str]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_valid_ref(str, r, st) ∧ r ≠ jvmref → junkref(str, r, st)])], [EXTRATERMS : (st, ty, r0, str)]]