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Proof step 20 from proof orderedls-all (previous step)

y[m1] < a0, a < a0, m1 < # y, ordered<(a0 ' + y), ∀ m0, n0. m0 < n0 ∧ ¬ # y < n0 → (a0 ' + y)[m0] < (a0 ' + y)[n0] ⊦ y = [], a < y[m1]

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: orderedls-ls seq: ⊦ b < a ∧ b ∈ x → ¬ ordered<(a ' + x) subst: [b, x, a] → [y[m1], y, a0] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < # x → (x[m] ∈ x ↔ true); (ss) Used terms: y[m1], y, a0