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Proof step 18 from proof validfieldinits-def-01 (previous step)

sk .fs = mkfs(class0, ty0, fieldvar0), validfieldinits(fis0, st), validfieldinits(str, fis0, st), type∃(str, ty), okval(val, ty), sk ∈ (mkfs(class, ty, fieldvar) ' × val) ' ∨ sk ∈ fis0, ∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)), is_referencevalue(val) → validrefval(str, val, ty, st) ⊦ junkrefs(str, fis0 .vals, st), type∃(str, ty0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
sk .fs = mkfs(class0, ty0, fieldvar0), validfieldinits(fis0, st), validfieldinits(str, fis0, st), type∃(str, ty), okval(val, ty), ∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)), is_referencevalue(val) → validrefval(str, val, ty, st), sk = mkfs(class, ty, fieldvar) ' ∨ sk ∈ fis0 ⊦ junkrefs(str, fis0 .vals, st), type∃(str, ty0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ∈ (sk0 × val) ' ↔ sk = sk0])]]