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Proof step 13 from proof pathex-class (previous step)

refs0 = r0 + refs, r0 = st[r -- fs '] .refval, is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), validrefs(str, refs0, fs .type, st) ⊦ refs0 = [], r = refs0 .last, r0 ≠ jvmref ∧ st[r0 -- _type] .type ≤ fs .type ∧ path∃(str, r0, refs0 .last, st), r0 = jvmref ∧ refs0 .last = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), validrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st) ⊦ r = (st[r -- fs '] .refval ' + refs) .last, st[r -- fs '] .refval ≠ jvmref ∧ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∧ path∃(str, st[r -- fs '] .refval, (st[r -- fs '] .refval ' + refs) .last, st), st[r -- fs '] .refval = jvmref ∧ (st[r -- fs '] .refval ' + refs) .last = jvmref

Rule argument

[emptyarg]

Additional information

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