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Definition df-nnc 4379
 Description: Define the finite cardinals. Definition from [Rosser] p. 275. (Contributed by SF, 12-Jan-2015.)
Assertion
Ref Expression
df-nnc Nn = {b (0c b y b (y +c 1c) b)}
Distinct variable group:   y,b

Detailed syntax breakdown of Definition df-nnc
StepHypRef Expression
1 cnnc 4373 . 2 class Nn
2 c0c 4374 . . . . . 6 class 0c
3 vb . . . . . . 7 setvar b
43cv 1641 . . . . . 6 class b
52, 4wcel 1710 . . . . 5 wff 0c b
6 vy . . . . . . . . 9 setvar y
76cv 1641 . . . . . . . 8 class y
8 c1c 4134 . . . . . . . 8 class 1c
97, 8cplc 4375 . . . . . . 7 class (y +c 1c)
109, 4wcel 1710 . . . . . 6 wff (y +c 1c) b
1110, 6, 4wral 2614 . . . . 5 wff y b (y +c 1c) b
125, 11wa 358 . . . 4 wff (0c b y b (y +c 1c) b)
1312, 3cab 2339 . . 3 class {b (0c b y b (y +c 1c) b)}
1413cint 3926 . 2 class {b (0c b y b (y +c 1c) b)}
151, 14wceq 1642 1 wff Nn = {b (0c b y b (y +c 1c) b)}
 Colors of variables: wff setvar class This definition is referenced by:  dfnnc2  4395  peano1  4402  peano2  4403  peano5  4409  dfnnc3  5885
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