Lean 4 fork for HoTT-compatible kernel extensions (Path types, transport, HITs). Maintained against upstream leanprover/lean4.
bb9c9bd99f
```lean
@[simp]
theorem shiftLeftRec_zero (x : BitVec w₁) (y : BitVec w₂) :
shiftLeftRec x y 0 = x <<< (y &&& twoPow w₂ 0) := by
simp [shiftLeftRec]
@[simp]
theorem shiftLeftRec_succ (x : BitVec w₁) (y : BitVec w₂) :
shiftLeftRec x y (n + 1) =
(shiftLeftRec x y n) <<< (y &&& twoPow w₂ (n + 1)) := by
simp [shiftLeftRec]
theorem shiftLeftRec_eq (x : BitVec w₁) (y : BitVec w₂) (n : Nat) (hn : n + 1 ≤ w₂) :
shiftLeftRec x y n = x <<< (y.truncate (n + 1)).zeroExtend w₂ := by
```
These theorems are used for bitblasting shiftLeft in LeanSAT.
---------
Co-authored-by: Alex Keizer <alex@keizer.dev>
Co-authored-by: Kim Morrison <scott@tqft.net>
Co-authored-by: Tobias Grosser <github@grosser.es>
Co-authored-by: Tobias Grosser <tobias@grosser.es>
|
||
|---|---|---|
| .github | ||
| doc | ||
| images | ||
| nix | ||
| releases_drafts | ||
| script | ||
| src | ||
| stage0 | ||
| tests | ||
| .gitattributes | ||
| .gitignore | ||
| .ignore | ||
| CMakeLists.txt | ||
| CMakePresets.json | ||
| CODEOWNERS | ||
| CONTRIBUTING.md | ||
| flake.lock | ||
| flake.nix | ||
| lean-toolchain | ||
| lean.code-workspace | ||
| LICENSE | ||
| LICENSES | ||
| README.md | ||
| RELEASES.md | ||
This is the repository for Lean 4.
About
- Quickstart
- Homepage
- Theorem Proving Tutorial
- Functional Programming in Lean
- Manual
- Release notes starting at v4.0.0-m3
- Examples
- External Contribution Guidelines
- FAQ
Installation
See Setting Up Lean.
Contributing
Please read our Contribution Guidelines first.
Building from Source
See Building Lean (documentation source: doc/make/index.md).