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Proof step 34 from proof validrefnotnull-union-at-right (previous step)

sk = fs ', 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, mkfs(class1, ty, fieldvar) ' ∈ instfields(class0) ∧ (is_reftype(ty) ∨ ty = abstract_type) ∧ st0[r -- mkfs(class1, ty, fieldvar) '] .refval ≠ jvmref ∧ ( ¬ is_referencevalue(st0[r -- mkfs(class1, ty, fieldvar) ']) ∨ ¬ st0[r -- (mkfs(class1, ty, fieldvar) ' ' + _type ')] .type ≤ ty ∨ ¬ validref(str, st0[r -- mkfs(class1, ty, fieldvar) '] .refval, ty, st0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
st0[r -- _type] .type = mkclasstype(class0), validref(str, r, mkclasstype(class), st0), mkfs(class1, ty, fieldvar) ' ∈ instfields(class) ⊦ st[r -- mkfs(class1, ty, fieldvar) '] = noval, r = jvmref, r -- mkfs(class1, ty, fieldvar) ' ∈ st0, mkfs(class1, ty, fieldvar) ' ∈ instfields(class0) ∧ (is_reftype(ty) ∨ ty = abstract_type) ∧ noval .refval ≠ jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_referencevalue(noval)], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]