2d67524e42
This PR implements support for inequalities in the `grind` linear
arithmetic procedure and simplifies its design. Some examples that can
already be solved:
```lean
open Lean.Grind
example [IntModule α] [Preorder α] [IntModule.IsOrdered α] (a b c d : α)
: a + d < c → b = a + (2:Int)*d → b - d > c → False := by
grind
example [CommRing α] [LinearOrder α] [Ring.IsOrdered α] (a b : α)
: a = 0 → b = 1 → a + b ≤ 2 := by
grind
example [CommRing α] [Preorder α] [Ring.IsOrdered α] (a b c d e : α) :
2*a + b ≥ 1 → b ≥ 0 → c ≥ 0 → d ≥ 0 → e ≥ 0
→ a ≥ 3*c → c ≥ 6*e → d - e*5 ≥ 0
→ a + b + 3*c + d + 2*e < 0 → False := by
grind
```
|
||
|---|---|---|
| .. | ||
| bench | ||
| compiler | ||
| elabissues | ||
| ir | ||
| lean | ||
| pkg | ||
| playground | ||
| plugin | ||
| simpperf | ||
| .gitignore | ||
| common.sh | ||
| lean-toolchain | ||