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Proof step 10 from proof validrefs-has-null (previous step)

fs = mkfs(class, ty1, fieldvar), is_obj(str, r, st), st[r -- _type] .type ≤ ty, fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), validrefs(str, (st[r -- fs '] .refval ' + refs1) + refs0, ty1, st), ∀ refs, str0, ty0, st0. refs ≠ [] → ¬ validrefs(str0, (st[r -- fs '] .refval ' + refs1) + refs, ty0, st0) ⊦ r = jvmref, refs0 = [], jvmref ≠ st[r -- fs '] .refval ∧ ¬ jvmref ∈ refs1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- mkfs(class, ty1, fieldvar) ']), validrefs(str, (st[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs1) + refs0, ty1, st), ∀ refs, str0, ty0, st0. refs ≠ [] → ¬ validrefs(str0, (st[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs1) + refs, ty0, st0) ⊦ r = jvmref, refs0 = [], jvmref ≠ st[r -- mkfs(class, ty1, fieldvar) '] .refval ∧ ¬ jvmref ∈ refs1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]