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Proof step 16 from proof validref-class (previous step)

st[r -- _type] .type = mkclasstype(class), st[r -- mkfs(class0, ty0, fieldvar) '] = refval(r0), is_reftype(ty0), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), validref(str, r, ty, st), ¬ validref(str, r0, ty0, st) ∨ ¬ st[r -- (mkfs(class0, ty0, fieldvar) ' ' + _type ')] .type ≤ ty0 ⊦ ty0 = abstract_type, r0 = jvmref, r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validref(str, r, ty, st) ↔ r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st)
Proof step 15:
st[r -- _type] .type = mkclasstype(class), st[r -- mkfs(class0, ty0, fieldvar) '] = refval(r0), is_reftype(ty0), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st), ¬ validref(str, r0, ty0, st) ∨ ¬ st[r -- (mkfs(class0, ty0, fieldvar) ' ' + _type ')] .type ≤ ty0 ⊦ ty0 = abstract_type, r0 = jvmref, r = jvmref

Rule argument

[crewrite-arg: validref-def, F, [st, ty, r, str] → [st, ty, r, str]]

Additional information

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