3b89739850
Note that hash_map is moved to library_dev, where the more advanced theorems on lists are available
26 lines
479 B
Text
26 lines
479 B
Text
/-
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Copyright (c) 2017 Galois Inc. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Simon Hudon
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exponentiation on natural numbers
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This is a work-in-progress
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-/
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prelude
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import init.data.nat.basic init.meta
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namespace nat
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def pow (b : ℕ) : ℕ → ℕ
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| 0 := 1
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| (succ n) := pow n * b
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infix `^` := pow
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lemma pow_succ (b n : ℕ) : b^(succ n) = b^n * b := rfl
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@[simp] lemma pow_zero (b : ℕ) : b^0 = 1 := rfl
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end nat
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