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Proof step 11 from proof validstatfields-rec (previous step)

⊦ (∀ sk0. sk0 ∈ sk ' + sks → validstatfield(str, sk0, st)) ↔ validstatfield(str, sk, st) ∧ validstatfields(str, sks, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
⊦ (∀ sk0. sk0 = sk ∨ sk0 ∈ sks → validstatfield(str, sk0, st)) ↔ validstatfield(str, sk, st) ∧ validstatfields(str, sks, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPSEQ : ⊦ ¬ sk ∈ sk0 ' + sks ↔ sk ≠ sk0 ∧ ¬ sk ∈ sks])]]