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Proof step 12 from proof validfield-superset (previous step)

sk = fs ', fs = mkfs(class, ty, fieldvar), r -- sk ∈ st, is_fskey(sk), r ∈ st, type∃(str, ty), st ⊆ st0, okval(st[r -- sk], ty), is_reftype(ty) → validrefval(str, st[r -- sk], ty, st) ⊦ ty = void_type, goodfieldandtype(r, sk, st0) ∧ (is_reftype(ty) → validrefval(str, st0[r -- sk], ty, st0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
r -- mkfs(class, ty, fieldvar) ' ∈ st, r ∈ st, type∃(str, ty), st ⊆ st0, okval(st[r -- mkfs(class, ty, fieldvar) '], ty), is_reftype(ty) → validrefval(str, st[r -- mkfs(class, ty, fieldvar) '], ty, st) ⊦ ty = void_type, goodfieldandtype(r, mkfs(class, ty, fieldvar) ', st0) ∧ (is_reftype(ty) → validrefval(str, st0[r -- mkfs(class, ty, fieldvar) '], ty, st0))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')])]]