diff options
Diffstat (limited to 'src/Lib.v')
| -rw-r--r-- | src/Lib.v | 39 |
1 files changed, 39 insertions, 0 deletions
diff --git a/src/Lib.v b/src/Lib.v new file mode 100644 index 0000000..3e955c8 --- /dev/null +++ b/src/Lib.v @@ -0,0 +1,39 @@ +Lemma modusponens: forall (P Q: Prop), P -> (P -> Q) -> Q. +Proof. auto. Qed. + +Ltac exploit x := + refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _ _) _) + || refine (modusponens _ _ (x _ _ _) _) + || refine (modusponens _ _ (x _ _) _) + || refine (modusponens _ _ (x _) _). |