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Proof step 14 from proof validrefs-put-array-badindex (previous step)

fs = mkfs(class, ty1, fieldvar), fs ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- fs ']), validrefs(str, st[r0 -- fs '] .refval ' + refs, ty1, st[r -- i ', val]), i < 0, is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ i0, str0, ty0, st0, r1, val0. ¬ 0 ≤ i0 → (validrefs(str0, st[r0 -- fs '] .refval ' + refs, ty0, st0[r1 -- i0 ', val0]) ↔ validrefs(str0, st[r0 -- fs '] .refval ' + refs, ty0, st0)) ⊦ r0 = jvmref, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- fs '] .refval = st[r0 -- fs0 '] .refval ∧ validrefs(str, st[r0 -- fs0 '] .refval ' + refs, fs0 .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
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[r -- i ', val]), i < 0, is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ i0, str0, ty0, st0, r1, val0. ¬ 0 ≤ i0 → ( validrefs(str0, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0[r1 -- i0 ', val0]) ↔ validrefs(str0, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0)) ⊦ r0 = jvmref, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- mkfs(class, ty1, fieldvar) '] .refval = st[r0 -- fs0 '] .refval ∧ validrefs(str, st[r0 -- fs0 '] .refval ' + refs, fs0 .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]