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Proof step 17 from proof validrefs-junkrefs-append (previous step)

is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty, is_obj(str, r, st), validrefs(str, r ' + refs0, ty, st), junkrefs(str, refs0 .last ' + refs1, st[refs0 .last -- _type] .type, st), st[r -- _type] .type ≤ ty, ∀ str0, ty0, st0, refs. validrefs(str0, refs0, ty0, st0) ∧ junkrefs(str0, refs0 .last ' + refs, st0[refs0 .last -- _type] .type, st0) → junkrefs(str0, refs0 + refs, ty0, st0) ⊦ refs0 = [], r = jvmref, refs0 + refs1 ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ (refs0 + refs1) .first = st[r -- fs '] .refval ∧ junkrefs(str, refs0 + refs1, fs .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
is_obj(str, r, st), validrefs(str, r ' + refs0, ty, st), junkrefs(str, refs0 .last ' + refs1, st[refs0 .last -- _type] .type, st), st[r -- _type] .type ≤ ty, ∀ str0, ty0, st0, refs. validrefs(str0, refs0, ty0, st0) ∧ junkrefs(str0, refs0 .last ' + refs, st0[refs0 .last -- _type] .type, st0) → junkrefs(str0, refs0 + refs, ty0, st0) ⊦ refs0 = [], r = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs0 .first = st[r -- fs '] .refval ∧ junkrefs(str, refs0 + refs1, fs .type, st)

Rule argument

[emptyarg]

Additional information

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