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Proof step 3 from proof postfix-is-lessOrEqual (previous step)

∀ x. x ⊒ y0 ↔ x = y0 ∨ x < y0 ⊦ x ⊒ a ' + y0 ↔ x = a ' + y0 ∨ x < a ' + y0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ x < a ' + y ↔ x = y ∨ x < y
Proof step 5:
∀ x. x ⊒ y0 ↔ x = y0 ∨ x < y0 ⊦ x ⊒ a ' + y0 ↔ x = a ' + y0 ∨ x = y0 ∨ x < y0

Rule argument

spec: list inst: name: less-append seq: ⊦ x < a ' + y ↔ x = y ∨ x < y subst: [y, a, x] → [y0, a, x] flags: rewrite

Additional information

Used terms: y0, a, x