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Proof step 37 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, 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))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 36:
sk .fs = mkfs(class1, ty, fieldvar), 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(ty) ∨ ty = abstract_type) ∧ st0[r -- sk .fs '] .refval ≠ jvmref ∧ (¬ is_referencevalue(st0[r -- sk .fs ']) ∨ ¬ st0[r -- (sk .fs ' ' + _type ')] .type ≤ ty ∨ ¬ validref(str, st0[r -- sk .fs '] .refval, ty, st0))

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [sk .fs, class1, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk .fs, class1, ty, fieldvar)]]