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Proof step 3 from proof prefix-trans (previous step)

x ⊑ y, y ⊑ a ' + z0, ∀ x, y. x ⊑ y ∧ y ⊑ z0 → x ⊑ z0 ⊦ x ⊑ a ' + z0

User applied rule all left

And obtained the following new goals

Proof step 4:
x ⊑ y, y ⊑ a ' + z0, x.rest ⊑ y.rest ∧ y.rest ⊑ z0 → x.rest ⊑ z0, ∀ x, y. x ⊑ y ∧ y ⊑ z0 → x ⊑ z0 ⊦ x ⊑ a ' + z0

Rule argument

pos: left 3 terms: x.rest, y.rest abort: F discard: F computed: F

Additional information

Used terms: x.rest, y.rest