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Proof step 59 from proof pathex-put-cyclic (previous step)

refs = r + refs1, st[refs .last -- _type] .type = mkclasstype(class0), validrefs(str, refs, st[r -- _type] .type, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[r -- _type] .type ≤ ty ⊦ r = jvmref, refs .last = jvmref, refs = [], r = refs .last, dups(refs), ∃ refs0. dups(refs0) ∧ refs0 .first = refs .last ∧ validrefs (str, refs0, (st[refs0 .first -- mkfs(class, ty, fieldvar) ', refval(r)][refs0 .first -- _type]) .type, st[refs0 .first -- mkfs(class, ty, fieldvar) ', refval(r)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 58:
st[(r ' + refs1) .last -- _type] .type = mkclasstype(class0), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[r -- _type] .type ≤ ty, validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ r = jvmref, (r ' + refs1) .last = jvmref, r = (r ' + refs1) .last, dups(refs1), r ∈ refs1, ∃ refs. dups(refs) ∧ refs .first = (r ' + refs1) .last ∧ validrefs (str, refs, (st[refs .first -- mkfs(class, ty, fieldvar) ', refval(r)][refs .first -- _type]) .type, st[refs .first -- mkfs(class, ty, fieldvar) ', refval(r)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ dups(r ' + refs) ↔ dups(refs) ∨ r ∈ refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]