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Proof step 18 from proof pathex-put-cyclic (previous step)

¬ r0 ≠ r, st[r -- _type] .type = mkclasstype(class0), path∃(str, r0, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[r0 -- _type] .type ≤ ty ⊦ r0 = jvmref, r = jvmref, ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs (str, refs, (st[refs .first -- mkfs(class, ty, fieldvar) ', refval(r0)][refs .first -- _type]) .type, st[refs .first -- mkfs(class, ty, fieldvar) ', refval(r0)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ path∃(str, r, r, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st)
Proof step 17:
st[r -- _type] .type = mkclasstype(class0), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), is_valid_ref(str, r, st), is_classtype(ty), class0 ≤ ty .class ⊦ r = jvmref, ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs (str, refs, (st[refs .first -- mkfs(class, ty, fieldvar) ', refval(refs .first)][refs .first -- _type]) .type, st[refs .first -- mkfs(class, ty, fieldvar) ', refval(refs .first)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class) ≤ ty ↔ is_classtype(ty) ∧ class ≤ ty .class])]]