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Proof step 45 from proof pathex-class (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
refs .first = st[r -- fs '] .refval, is_obj(str, r, st), is_referencevalue(st[r -- fs ']), fs ' ∈ instfields(st[r -- _type] .type .class), st[refs .first -- _type] .type ≤ fs .type, validrefs(str, refs, st[refs .first -- _type] .type, st) ⊦ r = refs .last, refs .first = jvmref, refs = [], validrefs(str, r ' + refs, st[r -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refs ≠ [] → (r ' + refs) .last = refs .last], [CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []])]]