Theorem nle_trans

Theorem. nle_trans
a ∈ ℕ → b ∈ ℕ → c ∈ ℕ → a ≤ b → b ≤ c → a ≤ c
Proof
nle_trans. ⊢ a ∈ ℕ → b ∈ ℕ → c ∈ ℕ → a ≤ b → b ≤ c → a ≤ c,
  pred_iii_restr nat_incl_in_real rle_trans.

Dependencies
The given proof depends on five axioms:
comp, eq_subst, radd_closed, real_is_set, rle_trans.