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Proof step 61 from proof pathex-put-cyclic (previous step)

r0 ≠ r, st[r -- _type] .type = mkclasstype(class0), ∃ refs. refs ≠ [] ∧ refs .first = r0 ∧ refs .last = r ∧ ¬ dups(refs) ∧ validrefs(str, refs, st[r0 -- _type] .type, 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 60:
st[refs .last -- _type] .type = mkclasstype(class0), validrefs(str, refs, st[refs .first -- _type] .type, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[refs .first -- _type] .type ≤ ty ⊦ refs .first = jvmref, refs .last = jvmref, refs = [], refs .first = refs .last, dups(refs), ∃ refs0. dups(refs0) ∧ refs0 .first = refs .last ∧ validrefs (str, refs0, (st[refs0 .first -- mkfs(class, ty, fieldvar) ', refval(refs .first)][refs0 .first -- _type]) .type, st[refs0 .first -- mkfs(class, ty, fieldvar) ', refval(refs .first)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]