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authoraarne <aarne@cs.chalmers.se>2008-06-25 16:54:35 +0000
committeraarne <aarne@cs.chalmers.se>2008-06-25 16:54:35 +0000
commite9e80fc389365e24d4300d7d5390c7d833a96c50 (patch)
treef0b58473adaa670bd8fc52ada419d8cad470ee03 /old-examples/systemS/ex4eng.txt
parentb96b36f43de3e2f8b58d5f539daa6f6d47f25870 (diff)
changed names of resource-1.3; added a note on homepage on release
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+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.