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Proof step 19 from proof ordered-postfix (previous step)

a1 ' + x1 < a ' + a0 ' + y, ordered≤(a0 ' + y), ∀ x0. x0 ⊒ a0 ' + y → ordered≤(x0) ⊦ a0 < a, ordered≤(a1 ' + x1), a1 ' + x1 ⊒ a0 ' + y

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ x ⊒ y ↔ x = y ∨ x < y

Rule argument

spec: list-last inst: name: postfix-is-lessOrEqual seq: ⊦ x ⊒ y ↔ x = y ∨ x < y subst: [y, x] → [a0 ' + y, a1 ' + x1] flags: rewrite

Additional information

Used simplifier rules: less-append: ⊦ x < a ' + y ↔ x = y ∨ x < y; from specification list%a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: a0 ' + y, a1 ' + x1