Skip to content

feat: add BitVec _assoc lemmas #4

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Closed
tobiasgrosser wants to merge 2 commits into from
Closed

feat: add BitVec _assoc lemmas #4

Changes from all commits
Commits
Show all changes
2 commits
Select commit Hold shift + click to select a range
b3ec4c0
feat: add BitVec _assoc lemmas
tobiasgrosser May 27, 2024
84a4f4f
rename a b c -> x y z
tobiasgrosser May 28, 2024
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
15 changes: 15 additions & 0 deletions src/Init/Data/BitVec/Lemmas.lean
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -461,6 +461,11 @@ protected theorem extractLsb_ofNat (x n : Nat) (hi lo : Nat) :
ext
simp

theorem or_assoc (x y z : BitVec w) :
x ||| y ||| z = x ||| (y ||| z) := by
ext i
simp [Bool.or_assoc]

/-! ### and -/

@[simp] theorem toNat_and (x y : BitVec v) :
Expand All @@ -487,6 +492,11 @@ protected theorem extractLsb_ofNat (x n : Nat) (hi lo : Nat) :
ext
simp

theorem and_assoc (x y z : BitVec w) :
x &&& y &&& z = x &&& (y &&& z) := by
ext i
simp [Bool.and_assoc]

/-! ### xor -/

@[simp] theorem toNat_xor (x y : BitVec v) :
Expand All @@ -507,6 +517,11 @@ protected theorem extractLsb_ofNat (x n : Nat) (hi lo : Nat) :
ext
simp

theorem xor_assoc (x y z : BitVec w) :
x ^^^ y ^^^ z = x ^^^ (y ^^^ z) := by
ext i
simp [Bool.xor_assoc]

/-! ### not -/

theorem not_def {x : BitVec v} : ~~~x = allOnes v ^^^ x := rfl
Expand Down