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Proof step 73 from proof validrefs-put-badclassfield-01 (previous step)

is_classtype(st[r0 -- _type] .type), validrefs(str, r ' + acc, ty, st), ∀ st, r0, str, ty, fs, val. is_classtype(st[r0 -- _type] .type) ∧ validrefs(str, acc, ty, st) → fs ' = _type ∨ acc = [] ∨ junkref(str, acc .first, st) ∨ fs ' ∈ instfields(st[r0 -- _type] .type .class) ∨ dups(acc .butlast) ∨ validrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups((r ' + acc) .butlast), validrefs(str, r ' + acc, ty, st[r0 -- fs ', val])

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 72:
¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)), is_classtype(st[r0 -- _type] .type), validrefs(str, r ' + acc, ty, st), ∀ st, r0, str, ty, fs, val. is_classtype(st[r0 -- _type] .type) ∧ validrefs(str, acc, ty, st) → fs ' = _type ∨ acc = [] ∨ junkref(str, acc .first, st) ∨ fs ' ∈ instfields(st[r0 -- _type] .type .class) ∨ dups(acc .butlast) ∨ validrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups((r ' + acc) .butlast), validrefs(str, r ' + acc, ty, st[r0 -- fs ', val])

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [st, ty, acc, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, acc, r, str)]]