wcdeq - Metamath Proof Explorer

	Metamath Proof Explorer		< Previous Next > Nearby theorems
Mirrors > Home > MPE Home > Th. List > wcdeq		Structured version Visualization version GIF version

Syntax Definition wcdeq 3698

Description: Extend wff notation to include conditional equality. This is a technical device used in the proof that Ⅎ is the not-free predicate, and that definitions are conservative as a result.

**Hypotheses**
Ref	Expression
wph	wff 𝜑
vx	setvar 𝑥
vy	setvar 𝑦

**Assertion**
Ref	Expression
wcdeq	wff CondEq(𝑥 = 𝑦 → 𝜑)

See definition df-cdeq 3699 for more information.

Colors of variables: wff setvar class

W3C validator