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Predicate constant with the following properties,
for all `x`, `y`, and `z`:

*Reflexivity*:`x`=`x`;*Symmetry*:`x`=`y`=>`y`=`x`;*Transitivity*: (`x`=`y`/\`y`=`z`) =>`x`=`z`.

*Equality Axiom*(every function constant`f`or predicate constant`p`)`x`=`y`=> `f`(...,`x`, ...) =`f`(...,`y`, ...);`x`=`y`=> `p`(...,`x`, ...) <=>`p`(...,`y`, ...).

*First Order Predicate Logic with Equality.*

Author: Wolfgang Schreiner

Last Modification: October 6, 1999