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Proof step 10 from proof valid-global-sqn-next (previous step)

apebs[m] = mkpeb(aehdr, avhdr, buf, m1, boolvar), m < # apebs, valid-peb(v, m0, mkpeb(aehdr, avhdr, buf, m1, boolvar)), n ≤ avhdr.sqn, ∀ v, m0. valid-sqns(v, m0, apebs, m) ≠ ∅ → valid-sqns(v, m0, apebs, m).max < n, ∀ v0, m2. valid-sqns(v0, m2, apebs, m) ∪ (v = v0 ∧ m0 = m2 ⊃ {avhdr.sqn} ;∅) ≠ ∅ → (valid-sqns(v0, m2, apebs, m) ∪ (v = v0 ∧ m0 = m2 ⊃ {avhdr.sqn} ;∅)).max < n ⊦

User applied rule all left

And obtained the following new goals

Proof step 11:
apebs[m] = mkpeb(aehdr, avhdr, buf, m1, boolvar), m < # apebs, valid-peb(v, m0, mkpeb(aehdr, avhdr, buf, m1, boolvar)), n ≤ avhdr.sqn, valid-sqns(v, m0, apebs, m) ∪ (v = v ∧ m0 = m0 ⊃ {avhdr.sqn} ;∅) ≠ ∅ → (valid-sqns(v, m0, apebs, m) ∪ (v = v ∧ m0 = m0 ⊃ {avhdr.sqn} ;∅)).max < n, ∀ v, m0. valid-sqns(v, m0, apebs, m) ≠ ∅ → valid-sqns(v, m0, apebs, m).max < n ⊦

Rule argument

pos: left 6 terms: v, m0 abort: F discard: T computed: F

Additional information

Used terms: v, m0