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Proof step 25 from proof validrefs-put-last (previous step)

st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), acc + r0 ' = r1 ' + refs, validrefs(str, r1 ' + refs, ty0, st[r0 -- sk, val]), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st) ⊦ r = jvmref, r0 = r, sk = _type, validrefs(str, r1 ' + refs, ty0, st), junkref(str, r, st), r0 ∈ acc, ¬ r1 ∈ acc ∧ r1 ≠ r0, r0 ≠ r1 ∧ ¬ r0 ∈ refs, ¬ junkref(str, acc .first, st) ∧ acc ≠ []

User applied rule cut formula

And obtained the following new goals

Proof step 17:
acc = [], st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), acc + r0 ' = r1 ' + refs, validrefs(str, r1 ' + refs, ty0, st[r0 -- sk, val]), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st) ⊦ r = jvmref, r0 = r, sk = _type, validrefs(str, r1 ' + refs, ty0, st), junkref(str, r, st), r0 ∈ acc, ¬ r1 ∈ acc ∧ r1 ≠ r0, r0 ≠ r1 ∧ ¬ r0 ∈ refs, ¬ junkref(str, acc .first, st) ∧ acc ≠ []
Proof step 24:
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), acc + r0 ' = r1 ' + refs, validrefs(str, r1 ' + refs, ty0, st[r0 -- sk, val]), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st) ⊦ acc = [], r = jvmref, r0 = r, sk = _type, validrefs(str, r1 ' + refs, ty0, st), junkref(str, r, st), r0 ∈ acc, ¬ r1 ∈ acc ∧ r1 ≠ r0, r0 ≠ r1 ∧ ¬ r0 ∈ refs, ¬ junkref(str, acc .first, st) ∧ acc ≠ []

Rule argument

[fma-arg: acc = []]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (acc = [])]]