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Proof step 123 from proof exvalidrefs-03 (previous step)

st[r -- _type] = typeval(mkclasstype(class1)), mkfs(class0, mkclasstype(class2), fieldvar) ' ∈ instfields(class), class2 ≤ class, class1 ≤ class, r ∈ st, class1 ≤ class2, class+∃(str, class1), r -- _type ∈ st, ∀ sk. sk ∈ instfields(class1) → goodfieldandtype(r, sk, st), ∀ r, str, st0. # st0 .refs < # st .refs → ( ¬ junkref(str, r, st0) ∧ ¬ cyclic(str, r, st0) ∧ is_obj(str, r, st0) ∧ r ≠ jvmref ∧ (∃ fs, class. fs ' ∈ instfields(class) ∧ fs .type ≤ mkclasstype(class) ∧ st0[r -- _type] .type ≤ fs .type) → (∃ refs. validrefs(str, refs, st0[r -- _type] .type, st0) ∧ refs ≠ [] ∧ refs .first = r ∧ refs .last = jvmref)) ⊦ r = jvmref, is_referencevalue(st[r -- mkfs(class0, mkclasstype(class2), fieldvar) ']), cyclic(str, r, st), is_abstract(class1), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ refs .first = r ∧ refs .last = jvmref

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 9, [extquanttermlist: (mkfs (class0, mkclasstype(class2), fieldvar) ') abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ fs ' ∈ instfields(class) ∧ class0 ≤ class → fs ' ∈ instfields(class0)], [CSIMPSEQ : ⊦ goodfieldandtype (r, mkfs(class1, ty, fieldvar) ', st) ↔ r -- mkfs(class1, ty, fieldvar) ' ∈ st ∧ okval (st[ r -- mkfs (class1, ty, fieldvar) '], ty)], [CSIMPSEQ : ⊦ okval(val, mkclasstype(class1)) ↔ is_referencevalue(val)])], [EXTRATERMS : (mkfs(class0, mkclasstype(class2), fieldvar) ')]]