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Proof step 142 from proof spawn-sat-rg-strnger (previous step)

last, GInv(S), Po(n0 + 1)(S), m ≤ n0 + 1, ¬ Po(m)(S), ∀ m. m ≤ n0 → Po(m)(S) ⊦

User applied rule all left

And closed the goal!

Rule argument

pos: left 6 terms: m abort: F discard: T computed: T

Additional information

Used simplifier rules: lels-01: ⊦ ¬ m ≤ n ↔ n < m; from specification nat%les: ⊦ m < n → (n ≤ m + 1 ↔ n = m + 1); from specification nat%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2 Used terms: m