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Proof step 8 from proof rtc-trans (previous step)

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

User applied rule all left

And obtained the following new goals

Proof step 9:
Pelem(a, c0), Pelem ^*(b, c), rtc(n0, Pelem)(c0, b), Pelem ^*(b, c) ∧ rtc(n0, Pelem)(c0, b) → Pelem ^*(c0, c) ⊦ Pelem ^*(a, c)

Rule argument

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

Additional information

Used terms: Pelem, b, c, c0