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Proof step 6 from proof to-to-leq (previous step)

n0 < # x, m ≤ n0 + 1, m ≤ # x, ∀ m, x. m ≤ n0 ∧ n0 ≤ # x ∧ m ≤ # x → x to n0 to m = x to m ⊦ x to n0 + 1 to m = x to m, x = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
m < # x ⊦ x to m + 1 = (x to m) + x[m] '
Proof step 8:
n0 < # x, n0 < # x, m ≤ n0 + 1, m ≤ # x, ∀ m, x. m ≤ n0 ∧ n0 ≤ # x ∧ m ≤ # x → x to n0 to m = x to m ⊦ (x to n0) + x[n0] ' to m = x to m, x = []

Rule argument

spec: stream inst: name: to-unwind-end-fin seq: m < # x ⊦ x to m + 1 = (x to m) + x[m] ' subst: [m, x] → [n0, x] flags: rewrite, current

Additional information

Used terms: n0, x