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Definition df-ltfin 4441
 Description: Define the less than relationship for finite cardinals. Definition from [Rosser] p. 527. (Contributed by SF, 12-Jan-2015.)
Assertion
Ref Expression
df-ltfin fin Nn 1c
Distinct variable group:   ,,,

Detailed syntax breakdown of Definition df-ltfin
StepHypRef Expression
1 cltfin 4433 . 2 fin
2 vx . . . . . . . 8
32cv 1641 . . . . . . 7
4 vm . . . . . . . . 9
54cv 1641 . . . . . . . 8
6 vn . . . . . . . . 9
76cv 1641 . . . . . . . 8
85, 7copk 4057 . . . . . . 7
93, 8wceq 1642 . . . . . 6
10 c0 3550 . . . . . . . 8
115, 10wne 2516 . . . . . . 7
12 vp . . . . . . . . . . . 12
1312cv 1641 . . . . . . . . . . 11
145, 13cplc 4375 . . . . . . . . . 10
15 c1c 4134 . . . . . . . . . 10 1c
1614, 15cplc 4375 . . . . . . . . 9 1c
177, 16wceq 1642 . . . . . . . 8 1c
18 cnnc 4373 . . . . . . . 8 Nn
1917, 12, 18wrex 2615 . . . . . . 7 Nn 1c
2011, 19wa 358 . . . . . 6 Nn 1c
219, 20wa 358 . . . . 5 Nn 1c
2221, 6wex 1541 . . . 4 Nn 1c
2322, 4wex 1541 . . 3 Nn 1c
2423, 2cab 2339 . 2 Nn 1c
251, 24wceq 1642 1 fin Nn 1c
 Colors of variables: wff setvar class This definition is referenced by:  opkltfing  4449  ltfinex  4464
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