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Proof step 9 from proof validrefs-newref (previous step)

fs = mkfs(class, ty1, fieldvar), is_obj(str, r0, st), newref(r, st), st[r0 -- _type] .type ≤ ty, fs ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- fs ']), validrefs(str, st[r0 -- fs '] .refval ' + refs, ty1, st), ∀ str0, ty0, st0, r1. validrefs(str0, st[r0 -- fs '] .refval ' + refs, ty0, st0) ∧ (r1 = st[r0 -- fs '] .refval ∨ r1 ∈ refs) ∧ newref(r1, st0) → r1 = jvmref ⊦ r0 = jvmref, r = jvmref, r = r0, r ≠ st[r0 -- fs '] .refval ∧ ¬ r ∈ refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
is_obj(str, r0, st), newref(r, st), st[r0 -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty1, fieldvar) ']), validrefs(str, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st), ∀ str0, ty0, st0, r1. validrefs(str0, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0) ∧ (r1 = st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ∨ r1 ∈ refs) ∧ newref(r1, st0) → r1 = jvmref ⊦ r0 = jvmref, r = jvmref, r = r0, r ≠ st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ∧ ¬ r ∈ refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]