![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > df-fac | Unicode version |
Description: Define the factorial
function on nonnegative integers. For example,
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-fac |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cfa 10312 |
. 2
![]() ![]() | |
2 | cc0 7500 |
. . . . 5
![]() ![]() | |
3 | c1 7501 |
. . . . 5
![]() ![]() | |
4 | 2, 3 | cop 3477 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() |
5 | 4 | csn 3474 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | cmul 7505 |
. . . 4
![]() ![]() | |
7 | cid 4148 |
. . . 4
![]() ![]() | |
8 | 6, 7, 3 | cseq 10059 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 5, 8 | cun 3019 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | 1, 9 | wceq 1299 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: facnn 10314 fac0 10315 |
Copyright terms: Public domain | W3C validator |