If b < c
							If b = 0
								c > 1 ∧ c | 0 ∧ c | c [c|o lemma]
								c > 1 ∧ c | b ∧ c | c
								∃d∈ℕ ( d > 1 ∧ d | b ∧ d | c )
								¬∃d∈ℕ ( d > 1 ∧ d | b ∧ d | c )
								⊥
							b > 0
							b ≥ 1
							b.c ≥ c
							∃x ∈ ℕ (b.x ≥ c)
							∃m ∈ ℕ (b.m ≥ c ∧ ∀k∈ℕ ( b.k ≥ c ⇒ k≥m ) ).
							Let u ∈ ℕ such that b.u ≥ c
							b.u ≥ c
							Let p ∈ ℕ such that b.u = c + p
							If u = 0
								b.u ≥ c
								0 ≥ c
								0 ≥ c > 1
								0 > 1
								⊥
							u > 0
							u ≥ 1