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Proof step 21 from proof bertrand-holds-lower (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 22:
prime(5), prime(7), prime(13), prime(23), prime(43), prime(83), prime(163), prime(317), prime(631), prime(1259), i ≤ 1024, 0 < i, i < 7 ⊦ prime(7) ∧ i < 7 ∧ 7 ≤ 2 * i, ∃ j. prime(j) ∧ i < j ∧ j ≤ 2 * i

Rule argument

pos: right 1 terms: 7 abort: F discard: F computed: F

Additional information

Used terms: 7