New Foundations Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  NFE Home  >  Th. List  >  df-tfin GIF version

Definition df-tfin 4443
 Description: Define the finite T operator. Definition from [Rosser] p. 528. (Contributed by SF, 12-Jan-2015.)
Assertion
Ref Expression
df-tfin Tfin M = if(M = , , (℩n(n Nn a M 1a n)))
Distinct variable group:   n,M,a

Detailed syntax breakdown of Definition df-tfin
StepHypRef Expression
1 cM . . 3 class M
21ctfin 4435 . 2 class Tfin M
3 c0 3550 . . . 4 class
41, 3wceq 1642 . . 3 wff M =
5 vn . . . . . . 7 setvar n
65cv 1641 . . . . . 6 class n
7 cnnc 4373 . . . . . 6 class Nn
86, 7wcel 1710 . . . . 5 wff n Nn
9 va . . . . . . . . 9 setvar a
109cv 1641 . . . . . . . 8 class a
1110cpw1 4135 . . . . . . 7 class 1a
1211, 6wcel 1710 . . . . . 6 wff 1a n
1312, 9, 1wrex 2615 . . . . 5 wff a M 1a n
148, 13wa 358 . . . 4 wff (n Nn a M 1a n)
1514, 5cio 4337 . . 3 class (℩n(n Nn a M 1a n))
164, 3, 15cif 3662 . 2 class if(M = , , (℩n(n Nn a M 1a n)))
172, 16wceq 1642 1 wff Tfin M = if(M = , , (℩n(n Nn a M 1a n)))
 Colors of variables: wff setvar class This definition is referenced by:  tfinex  4485  eqtfinrelk  4486  tfineq  4488  tfinprop  4489  tfinnul  4491
 Copyright terms: Public domain W3C validator