Logical assertion

From Wikinfo

The logical assertion is a statement that asserts that a certain premise is true, and is useful for statements in proof. It is equivalent to a sequent with an empty antedecent.

For example, if p = "x is even", the implication

<math> (\vdash p)\rightarrow(p \pmod 2 \equiv 0)</math>

is thus true. We can also write this using the logical assertion symbol, as

<math> \vdash \left( (\vdash p)\rightarrow(p \pmod 2 \equiv 0) \right)</math>

References

• Adapted from the Wikipedia article, "Logical_assertion" http://en.wikipedia.org/wiki/Logical_assertion, used under the GNU Free Documentation License