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Proof step 14 from proof ordered-postfix (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ x ⊒ y ↔ x = y ∨ x < y
Proof step 16:
ordered≤(a0 ' + y), a1 ' + x1 = a ' + a0 ' + y ∨ a1 ' + x1 < a ' + a0 ' + y, ∀ x0. x0 ⊒ a0 ' + y → ordered≤(x0) ⊦ a0 < a, ordered≤(a1 ' + x1)

Rule argument

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

Additional information

Used terms: a ' + a0 ' + y, a1 ' + x1