γ 1 ≡ γ 2 ⇔ { γ 1 ( 0 ) = γ 2 ( 0 ) = p , and  d d t ϕ ∘ γ 1 ( t ) ∣ t = 0 =  d d t ϕ ∘ γ 2 ( t ) ∣ t = 0