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Proof step 88 from proof validrefs-putshort-field (previous step)

¬ ( r0 ≠ jvmref ∧ ( ¬ is_valid_ref(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ ¬ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _type]) .type ≤ ty)), is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), validrefs(str, r0 ' + refs1, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + refs1) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ junkref(str, r0, st), validrefs(str, r0 ' + refs1, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []
Proof step 87:
is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), validrefs(str, r0 ' + refs1, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), is_valid_ref(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), st[r0 -- _type] .type ≤ ty, ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + refs1) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ r0 = jvmref, junkref(str, r0, st), validrefs(str, r0 ' + refs1, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[ r0 -- mkfs (class, short_type, fieldvar) ', val] [r -- _type ] ) = st[r -- _type]], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]