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Proof step 11 from proof validrefs-contains-null (previous step)

st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), acc + jvmref ' = r0 ' + refs, validrefs(str, acc + jvmref ' + refs0, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st), ∀ str, refs0, ty, st. validrefs(str, acc + jvmref ' + refs0, ty, st) → validrefs(str, r0 ' + refs, ty, st) ∧ refs0 = [] ⊦ refs0 = [], r = jvmref, ¬ r0 ∈ acc ∧ r0 ≠ jvmref, jvmref ≠ r0 ∧ ¬ jvmref ∈ refs, (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ r0 = st[r -- fs '] .refval ∧ validrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st)) ∧ refs0 = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), acc + jvmref ' = r0 ' + refs, validrefs(str, acc + jvmref ' + refs0, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st), ∀ str, refs0, ty, st. validrefs(str, acc + jvmref ' + refs0, ty, st) → validrefs(str, r0 ' + refs, ty, st) ∧ refs0 = [] ⊦ refs0 = [], r = jvmref, ¬ r0 ∈ acc ∧ r0 ≠ jvmref, jvmref ≠ r0 ∧ ¬ jvmref ∈ refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]