chore(library/init/data/nat): remove pow.lean

library/init/data/nat/basic.lean

@@ -195,4 +195,16 @@ protected lemma bit1_ne_zero (n : ℕ) : bit1 n ≠ 0 :=
 show succ (n + n) ≠ 0, from
 λ h, nat.no_confusion h
 
+/- Exponentiation -/
+
+def pow (b : ℕ) : ℕ → ℕ
+| 0        := 1
+| (succ n) := pow n * b
+
+infix `^` := pow
+
+lemma pow_succ (b n : ℕ) : b^(succ n) = b^n * b := rfl
+
+@[simp] lemma pow_zero (b : ℕ) : b^0 = 1 := rfl
+
 end nat

library/init/data/nat/default.lean

@@ -4,5 +4,5 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura
 -/
 prelude
-import init.data.nat.basic init.data.nat.div init.data.nat.pow init.data.nat.lemmas
+import init.data.nat.basic init.data.nat.div init.data.nat.lemmas
        init.data.nat.bitwise

library/init/data/nat/lemmas.lean

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura, Jeremy Avigad
 -/
 prelude
-import init.data.nat.basic init.data.nat.div init.data.nat.pow init.meta init.algebra.functions
+import init.data.nat.basic init.data.nat.div init.meta init.algebra.functions
 universes u
 
 namespace nat
@@ -1350,4 +1350,6 @@ begin
       simp [h₁] },
     rw [eq.symm (mod_eq_sub_mod p_b_ge)] }
 end
+
+
 end nat

library/init/data/nat/pow.lean

@@ -1,26 +0,0 @@
-/-
-Copyright (c) 2017 Galois Inc. All rights reserved.
-Released under Apache 2.0 license as described in the file LICENSE.
-Author: Simon Hudon
-
-exponentiation on natural numbers
-
-This is a work-in-progress
--/
-prelude
-
-import init.data.nat.basic init.meta
-
-namespace nat
-
-def pow (b : ℕ) : ℕ → ℕ
-| 0        := 1
-| (succ n) := pow n * b
-
-infix `^` := pow
-
-lemma pow_succ (b n : ℕ) : b^(succ n) = b^n * b := rfl
-
-@[simp] lemma pow_zero (b : ℕ) : b^0 = 1 := rfl
-
-end nat