diff options
| author | aarne <aarne@cs.chalmers.se> | 2008-06-25 16:54:35 +0000 |
|---|---|---|
| committer | aarne <aarne@cs.chalmers.se> | 2008-06-25 16:54:35 +0000 |
| commit | e9e80fc389365e24d4300d7d5390c7d833a96c50 (patch) | |
| tree | f0b58473adaa670bd8fc52ada419d8cad470ee03 /old-examples/systemS/ex4eng.txt | |
| parent | b96b36f43de3e2f8b58d5f539daa6f6d47f25870 (diff) | |
changed names of resource-1.3; added a note on homepage on release
Diffstat (limited to 'old-examples/systemS/ex4eng.txt')
| -rw-r--r-- | old-examples/systemS/ex4eng.txt | 8 |
1 files changed, 8 insertions, 0 deletions
diff --git a/old-examples/systemS/ex4eng.txt b/old-examples/systemS/ex4eng.txt new file mode 100644 index 000000000..3ad4f3549 --- /dev/null +++ b/old-examples/systemS/ex4eng.txt @@ -0,0 +1,8 @@ +We will show that (A -> B) v (B -> A). +To that end, we will assume ~ ((A -> B) v (B -> A)) and show _|_. +So let us assume that ~ ((A -> B) v (B -> A)). +Then, by the first de Morgan's law, we get ~ (A -> B) & ~ (B -> A) to prove _|_. +So by splitting we get ~ (A -> B), ~ (B -> A) to prove _|_. +By implication negation, we get A, ~ (B -> A) to prove _|_. +By implication negation, we get A, ~ A to prove _|_. +Hence we get _|_ as desired. |
