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Proof step 4 from proof bertrand-holds-lower (previous step)

prime(2) ∧ prime(3) ∧ prime(5) ∧ prime(7) ∧ prime(13) ∧ prime(23) ∧ prime(43) ∧ prime(83) ∧ prime(163) ∧ prime(317) ∧ prime(631) ∧ prime(1259), i ≤ 1024, 0 < i ⊦ ∃ j. prime(j) ∧ i < j ∧ j ≤ 2 * i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
prime(5), prime(7), prime(13), prime(23), prime(43), prime(83), prime(163), prime(317), prime(631), prime(1259), i ≤ 1024, 0 < i ⊦ ∃ j. prime(j) ∧ i < j ∧ j ≤ 2 * i

Rule argument

Additional information

Used simplifier rules: prime-three: ⊦ prime(3); from specification int-gcd%prime-two-01: ⊦ prime(2); from specification int-gcd