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Proof step 3 from proof succ (previous step)

prime(m), prime(m + 1) ⊦ m = 2

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ prime(n) ↔ 1 < n ∧ (∀ m. m | n → m = 1 ∨ m = n)
Proof step 5:
1 < m, prime(m + 1), ∀ m0. m0 | m → m0 = 1 ∨ m0 = m ⊦ m = 2

Rule argument

spec: <toplevel> name: Prime seq: ⊦ prime(n) ↔ 1 < n ∧ (∀ m. m | n → m = 1 ∨ m = n) subst: [n] → [m] flags: <all paths>

Additional information

Used terms: m