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fix: naming convention for UInt lemmas #4514

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35 changes: 30 additions & 5 deletions src/Init/Data/UInt/Lemmas.lean
Original file line number Diff line number Diff line change
Expand Up @@ -47,11 +47,11 @@ protected theorem ne_of_val_ne {a b : $typeName} (h : a.val ≠ b.val) : a ≠ b
open $typeName (ne_of_val_ne) in
protected theorem ne_of_lt {a b : $typeName} (h : a < b) : a ≠ b := ne_of_val_ne (Fin.ne_of_lt h)

@[simp] protected theorem zero_toNat : (0 : $typeName).toNat = 0 := Nat.zero_mod _
@[simp] protected theorem mod_toNat (a b : $typeName) : (a % b).toNat = a.toNat % b.toNat := Fin.mod_val ..
@[simp] protected theorem div_toNat (a b : $typeName) : (a / b).toNat = a.toNat / b.toNat := Fin.div_val ..
@[simp] protected theorem sub_toNat_of_le (a b : $typeName) : b ≤ a → (a - b).toNat = a.toNat - b.toNat := Fin.sub_val_of_le
@[simp] protected theorem modn_toNat (a : $typeName) (b : Nat) : (a.modn b).toNat = a.toNat % b := Fin.modn_val ..
@[simp] protected theorem toNat_zero : (0 : $typeName).toNat = 0 := Nat.zero_mod _
@[simp] protected theorem toNat_mod (a b : $typeName) : (a % b).toNat = a.toNat % b.toNat := Fin.mod_val ..
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@[simp] protected theorem toNat_div (a b : $typeName) : (a / b).toNat = a.toNat / b.toNat := Fin.div_val ..
@[simp] protected theorem toNat_sub_of_le (a b : $typeName) : b ≤ a → (a - b).toNat = a.toNat - b.toNat := Fin.sub_val_of_le
@[simp] protected theorem toNat_modn (a : $typeName) (b : Nat) : (a.modn b).toNat = a.toNat % b := Fin.modn_val ..
protected theorem modn_lt {m : Nat} : ∀ (u : $typeName), m > 0 → toNat (u % m) < m
| ⟨u⟩, h => Fin.modn_lt u h
open $typeName (modn_lt) in
Expand All @@ -69,3 +69,28 @@ declare_uint_theorems UInt16
declare_uint_theorems UInt32
declare_uint_theorems UInt64
declare_uint_theorems USize

@[deprecated (since := "2024-06-23")] protected abbrev UInt8.zero_toNat := @UInt8.toNat_zero
@[deprecated (since := "2024-06-23")] protected abbrev UInt8.div_toNat := @UInt8.toNat_div
@[deprecated (since := "2024-06-23")] protected abbrev UInt8.mod_toNat := @UInt8.toNat_mod
@[deprecated (since := "2024-06-23")] protected abbrev UInt8.modn_toNat := @UInt8.toNat_modn

@[deprecated (since := "2024-06-23")] protected abbrev UInt16.zero_toNat := @UInt16.toNat_zero
@[deprecated (since := "2024-06-23")] protected abbrev UInt16.div_toNat := @UInt16.toNat_div
@[deprecated (since := "2024-06-23")] protected abbrev UInt16.mod_toNat := @UInt16.toNat_mod
@[deprecated (since := "2024-06-23")] protected abbrev UInt16.modn_toNat := @UInt16.toNat_modn

@[deprecated (since := "2024-06-23")] protected abbrev UInt32.zero_toNat := @UInt32.toNat_zero
@[deprecated (since := "2024-06-23")] protected abbrev UInt32.div_toNat := @UInt32.toNat_div
@[deprecated (since := "2024-06-23")] protected abbrev UInt32.mod_toNat := @UInt32.toNat_mod
@[deprecated (since := "2024-06-23")] protected abbrev UInt32.modn_toNat := @UInt32.toNat_modn

@[deprecated (since := "2024-06-23")] protected abbrev UInt64.zero_toNat := @UInt64.toNat_zero
@[deprecated (since := "2024-06-23")] protected abbrev UInt64.div_toNat := @UInt64.toNat_div
@[deprecated (since := "2024-06-23")] protected abbrev UInt64.mod_toNat := @UInt64.toNat_mod
@[deprecated (since := "2024-06-23")] protected abbrev UInt64.modn_toNat := @UInt64.toNat_modn

@[deprecated (since := "2024-06-23")] protected abbrev USize.zero_toNat := @USize.toNat_zero
@[deprecated (since := "2024-06-23")] protected abbrev USize.div_toNat := @USize.toNat_div
@[deprecated (since := "2024-06-23")] protected abbrev USize.mod_toNat := @USize.toNat_mod
@[deprecated (since := "2024-06-23")] protected abbrev USize.modn_toNat := @USize.toNat_modn
2 changes: 1 addition & 1 deletion src/Std/Data/DHashMap/Internal/Index.lean
Original file line number Diff line number Diff line change
Expand Up @@ -48,7 +48,7 @@ cf. https://github.com/leanprover/lean4/issues/4157
⟨(scrambleHash hash).toUSize &&& (sz.toUSize - 1), by
-- Making this proof significantly less painful will be a good test for our USize API
by_cases h' : sz < USize.size
· rw [USize.and_toNat, ← USize.ofNat_one, USize.sub_toNat_of_le, USize.toNat_ofNat_of_lt]
· rw [USize.and_toNat, ← USize.ofNat_one, USize.toNat_sub_of_le, USize.toNat_ofNat_of_lt]
· refine Nat.lt_of_le_of_lt Nat.and_le_right (Nat.sub_lt h ?_)
rw [USize.toNat_ofNat_of_lt]
· exact Nat.one_pos
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