(P1) H !FORALL x(B).f(AB) x = g(AB) x

*(P2) H !f(AB) = g(AB) Ext=: P1

Restrictions: (IS-VARIABLE x(B))

Transformation: (P2 ss) ==> (P1 ss)

Rule of Extensionality.

The command format for EXT= is:

<n>EXT= P2 P1 x g f P2-HYPS P1-HYPS

"LINE" "LINE" "GWFF" "GWFF" "GWFF" "LINELIST" "LINELIST"

The arguments have the following meaning:

P2 : Line with Equality

P1 : Universally Quantified Equality

x : Universally Quantified Variable

g : Function on Right Side of Equality

f : Function on Left Side of Equality

P2-HYPS : Hypotheses

P1-HYPS : Hypotheses

Its priority is 3

© 1988-99, Carnegie Mellon University.