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Proof step 7 from proof rtc-trans (previous step)

Pelem ^*(b, c), Pelem(a, c0), rtc(n0, Pelem)(c0, b), ∀ Pelem, a, b, c. rtc(n0, Pelem)(a, b) ∧ Pelem ^*(b, c) → Pelem ^*(a, c) ⊦ Pelem ^*(a, c)

User applied rule all left

And obtained the following new goals

Proof step 8:
Pelem ^*(b, c), Pelem(a, c0), rtc(n0, Pelem)(c0, b), rtc(n0, Pelem)(c0, b) ∧ Pelem ^*(b, c) → Pelem ^*(c0, c) ⊦ Pelem ^*(a, c)

Rule argument

pos: left 4 terms: Pelem, c0, b, c abort: F discard: T computed: T

Additional information

Used terms: Pelem, c0, b, c