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Proof step 38 from proof validrefnotnull-union-at-right (previous step)

st0[r -- _type] .type = mkclasstype(class0), validref(str, r, mkclasstype(class), st0), sk ∈ instfields(class), is_fskey(sk) ⊦ st[r -- sk] = noval, r = jvmref, r -- sk ∈ st0, ∃ fs. fs ' ∈ instfields(class0) ∧ (is_reftype(fs .type) ∨ fs .type = abstract_type) ∧ st0[r -- fs '] .refval ≠ jvmref ∧ (¬ is_referencevalue(st0[r -- fs ']) ∨ ¬ st0[r -- (fs ' ' + _type ')] .type ≤ fs .type ∨ ¬ validref(str, st0[r -- fs '] .refval, fs .type, st0))

User applied rule exists right

And obtained the following new goals

Proof step 37:
st0[r -- _type] .type = mkclasstype(class0), validref(str, r, mkclasstype(class), st0), sk ∈ instfields(class), is_fskey(sk) ⊦ st[r -- sk] = noval, r = jvmref, r -- sk ∈ st0, sk .fs ' ∈ instfields(class0) ∧ (is_reftype(sk .fs .type) ∨ sk .fs .type = abstract_type) ∧ st0[r -- sk .fs '] .refval ≠ jvmref ∧ ( ¬ is_referencevalue(st0[r -- sk .fs ']) ∨ ¬ st0[r -- (sk .fs ' ' + _type ')] .type ≤ sk .fs .type ∨ ¬ validref(str, st0[r -- sk .fs '] .refval, sk .fs .type, st0))

Rule argument

[EXRARG : pos: right 4, [extquanttermlist: (sk .fs)abort:F, discard:T, computed:F]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk .fs)]]