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Proof step 20 from proof ole-last (previous step)

x0 + a ' = a ' + y, a ∈ y, ordered≤(a ' + y), ∀ a, b. ordered≤(x0 + a ') → (ordered≤(x0 + a ' + b ') ↔ ¬ b < a) ⊦ b < a, a < a0, b < a0, ordered≤(x0 + a ' + b ')

User applied rule all left

And closed the goal!

Rule argument

pos: left 4 terms: a, b abort: F discard: T computed: T

Additional information

Used simplifier rules: a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: a, b