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Proof step 4 from proof validfieldlist-rec (previous step)

sk0 = sk ∨ sk0 ∈ sks → validfield(str, r, sk0, st), ∀ sk0. sk0 = sk ∨ sk0 ∈ sks → validfield(str, r, sk0, st) ⊦ validfield(str, r, sk, st) ∧ (sk0 ∈ sks → validfield(str, r, sk0, st))

User applied rule case distinction

And obtained the following new goals

Proof step 3:
sk0 = sk ∨ sk0 ∈ sks → validfield(str, r, sk0, st), ∀ sk0. sk0 = sk ∨ sk0 ∈ sks → validfield(str, r, sk0, st) ⊦ validfield(str, r, sk, st)

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]