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Definition df-cdeq 3311
 Description: Define conditional equality. All the notation to the left of the <-> is fake; the parentheses and arrows are all part of the notation, which could equally well be written CondEqx . On the right side is the actual implication arrow. The reason for this definition is to "flatten" the structure on the right side (whose tree structure is something like (wi (wceq (cv vx) (cv vy)) wph) ) into just (wcdeq vx vy wph). (Contributed by Mario Carneiro, 11-Aug-2016.)
Assertion
Ref Expression
df-cdeq

Detailed syntax breakdown of Definition df-cdeq
StepHypRef Expression
1 wph . . 3
2 vx . . 3
3 vy . . 3
41, 2, 3wcdeq 3310 . 2
52, 3weq 1733 . . 3
65, 1wi 4 . 2
74, 6wb 184 1
 Colors of variables: wff setvar class This definition is referenced by:  cdeqi  3312  cdeqri  3313
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