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[Merged by Bors] - chore: bump Std dependency (shiftRight lemmas) #7771

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[Merged by Bors] - chore: bump Std dependency (shiftRight lemmas) #7771

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3997f25
chore: bump Std dependency (shiftRight lemmas)
kim-em Oct 19, 2023
654f39b
remove lemma
kim-em Oct 21, 2023
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5 changes: 0 additions & 5 deletions Mathlib/Data/Nat/Size.lean
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Expand Up @@ -36,11 +36,6 @@ end
theorem zero_shiftLeft (n) : 0 <<< n = 0 := by simp
#align nat.zero_shiftl Nat.zero_shiftLeft

theorem shiftRight_eq_div_pow (m) : ∀ n, m >>> n = m / 2 ^ n
| 0 => (Nat.div_one _).symm
| k + 1 => by
rw [shiftRight_add, shiftRight_eq_div_pow m k]
simp [Nat.div_div_eq_div_mul, ← Nat.pow_succ]
#align nat.shiftr_eq_div_pow Nat.shiftRight_eq_div_pow

theorem shiftLeft'_ne_zero_left (b) {m} (h : m ≠ 0) (n) : shiftLeft' b m n ≠ 0 := by
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19 changes: 0 additions & 19 deletions Mathlib/Init/Data/Nat/Bitwise.lean
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Expand Up @@ -208,21 +208,6 @@ theorem shiftLeft_zero (m) : m <<< 0 = m := rfl
theorem shiftLeft_succ (m n) : m <<< (n + 1) = 2 * (m <<< n) := by
simp only [shiftLeft_eq, Nat.pow_add, Nat.pow_one, ← Nat.mul_assoc, Nat.mul_comm]

@[simp]
theorem shiftRight_zero : n >>> 0 = n := rfl

@[simp]
theorem shiftRight_succ (m n) : m >>> (n + 1) = (m >>> n) / 2 := rfl

@[simp]
theorem zero_shiftRight : ∀ n, 0 >>> n = 0 := by
intro n
induction' n with n IH
case zero =>
simp [shiftRight]
case succ =>
simp [shiftRight, IH]

/-- `testBit m n` returns whether the `(n+1)ˢᵗ` least significant bit is `1` or `0`-/
def testBit (m n : ℕ) : Bool :=
bodd (m >>> n)
Expand Down Expand Up @@ -307,10 +292,6 @@ theorem shiftLeft'_add (b m n) : ∀ k, shiftLeft' b m (n + k) = shiftLeft' b (s
theorem shiftLeft_add (m n : Nat) : ∀ k, m <<< (n + k) = (m <<< n) <<< k := by
intro k; simp only [← shiftLeft'_false, shiftLeft'_add]

theorem shiftRight_add (m n : Nat) : ∀ k, m >>> (n + k) = (m >>> n) >>> k
| 0 => rfl
| k + 1 => by simp [add_succ, shiftRight_add]

theorem shiftLeft'_sub (b m) : ∀ {n k}, k ≤ n → shiftLeft' b m (n - k) = (shiftLeft' b m n) >>> k
| n, 0, _ => rfl
| n + 1, k + 1, h => by
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2 changes: 1 addition & 1 deletion lake-manifest.json
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Expand Up @@ -4,7 +4,7 @@
[{"git":
{"url": "https://github.com/leanprover/std4",
"subDir?": null,
"rev": "dd2549f76ff763c897fe997061e2625a7d628eaf",
"rev": "727fa6aa1113c376ea1873812d1ab5c17a24f1d2",
"opts": {},
"name": "std",
"inputRev?": "main",
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