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Proof step 9 from proof inv-propagate (previous step)

Pelem(a), p(a, c), rtc(n0, c, b), ∀ Pelem, a, b. Pelem(a) ∧ rtc(n0, a, b) ∧ (∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b)) → Pelem(b), ∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b) ⊦ Pelem(b)

User applied rule all left

And obtained the following new goals

Proof step 10:
Pelem(a), p(a, c), rtc(n0, c, b), Pelem(c) ∧ rtc(n0, c, b) ∧ (∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b)) → Pelem(b), ∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b), ∀ Pelem, a, b. Pelem(a) ∧ rtc(n0, a, b) ∧ (∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b)) → Pelem(b) ⊦ Pelem(b)

Rule argument

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

Additional information

Used terms: Pelem, c, b