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Proof step 12 from proof spawn-rg-total-correct-strng (previous step)

□ (Rton(n)(S', S'') ∧ GInv(S) ∧ GInv(S')), N = N'' + 1 until ¬ GInv(S''), INDHYP-nat0(N + 1), Rton(n)(s0, S), GInv(s), GInv(s0), boolvar → s = s0 ∧ N + 1 = n1 ⊦ ◇ last

User applied rule apply VD induction

And closed the goal!

Rule argument

subst: [n] → [n] path: 1, 2, 1, 1, 1

Additional information

Used simplifier rules: succ: ⊦ m +1 = m + 1; from specification nat-basic2%s: ⊦ m < n + 1 ↔ ¬ n < m; from specification nat-basic2%ref-1: ⊦ ¬ n < n; from specification nat-basic1%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2 Used terms: n