Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > df-tpos | Unicode version |
Description: Define the transposition of a function, which is a function tpos satisfying . (Contributed by Mario Carneiro, 10-Sep-2015.) |
Ref | Expression |
---|---|
df-tpos | tpos |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cF | . . 3 | |
2 | 1 | ctpos 5859 | . 2 tpos |
3 | vx | . . . 4 | |
4 | 1 | cdm 4345 | . . . . . 6 |
5 | 4 | ccnv 4344 | . . . . 5 |
6 | c0 3224 | . . . . . 6 | |
7 | 6 | csn 3375 | . . . . 5 |
8 | 5, 7 | cun 2915 | . . . 4 |
9 | 3 | cv 1242 | . . . . . . 7 |
10 | 9 | csn 3375 | . . . . . 6 |
11 | 10 | ccnv 4344 | . . . . 5 |
12 | 11 | cuni 3580 | . . . 4 |
13 | 3, 8, 12 | cmpt 3818 | . . 3 |
14 | 1, 13 | ccom 4349 | . 2 |
15 | 2, 14 | wceq 1243 | 1 tpos |
Colors of variables: wff set class |
This definition is referenced by: tposss 5861 tposssxp 5864 brtpos2 5866 tposfun 5875 dftpos2 5876 dftpos4 5878 |
Copyright terms: Public domain | W3C validator |