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Definition df-sfin 4446
 Description: Define the finite S relationship. This relationship encapsulates the idea of being a "smaller" number than . Definition from [Rosser] p. 530. (Contributed by SF, 12-Jan-2015.)
Assertion
Ref Expression
df-sfin Sfin Nn Nn 1
Distinct variable groups:   ,   ,

Detailed syntax breakdown of Definition df-sfin
StepHypRef Expression
1 cM . . 3
2 cN . . 3
31, 2wsfin 4438 . 2 Sfin
4 cnnc 4373 . . . 4 Nn
51, 4wcel 1710 . . 3 Nn
62, 4wcel 1710 . . 3 Nn
7 va . . . . . . . 8
87cv 1641 . . . . . . 7
98cpw1 4135 . . . . . 6 1
109, 1wcel 1710 . . . . 5 1
118cpw 3722 . . . . . 6
1211, 2wcel 1710 . . . . 5
1310, 12wa 358 . . . 4 1
1413, 7wex 1541 . . 3 1
155, 6, 14w3a 934 . 2 Nn Nn 1
163, 15wb 176 1 Sfin Nn Nn 1
 Colors of variables: wff setvar class This definition is referenced by:  srelk  4524  sfineq1  4526  sfineq2  4527  sfin01  4528  sfin112  4529  sfindbl  4530  sfintfin  4532  sfinltfin  4535  sfin111  4536  spfinsfincl  4539  vfinspnn  4541  1cvsfin  4542  vfinspsslem1  4550
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