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Syntax Definition wsbc 1604
Description: Extend wff notation to include the proper substitution of a class for a set. Read this notation as "the proper substitution of class for set variable in wff ."

(The purpose of introducing here is to allow us to express i.e. "prove" the wsb 1605 of predicate calculus in terms of the wsbc 1604 of set theory, so that we don't "overload" its connectives with two syntax definitions. This is done to prevent ambiguity that would complicate some Metamath parsers. The class variable is introduced temporarily for the purpose of this definition but otherwise not used in predicate calculus.)

Hypotheses
Ref Expression
wph
vx
wsbc.cA
Assertion
Ref Expression
wsbc

See definition df-sb 1606 for more information.

Colors of variables: wff set class
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