Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > fvmptg | Structured version Visualization version Unicode version |
Description: Value of a function given in maps-to notation. (Contributed by NM, 2-Oct-2007.) (Revised by Mario Carneiro, 31-Aug-2015.) |
Ref | Expression |
---|---|
fvmptg.1 | |
fvmptg.2 |
Ref | Expression |
---|---|
fvmptg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2622 | . 2 | |
2 | fvmptg.1 | . . . 4 | |
3 | 2 | eqeq2d 2632 | . . 3 |
4 | eqeq1 2626 | . . 3 | |
5 | moeq 3382 | . . . 4 | |
6 | 5 | a1i 11 | . . 3 |
7 | fvmptg.2 | . . . 4 | |
8 | df-mpt 4730 | . . . 4 | |
9 | 7, 8 | eqtri 2644 | . . 3 |
10 | 3, 4, 6, 9 | fvopab3ig 6278 | . 2 |
11 | 1, 10 | mpi 20 | 1 |
Copyright terms: Public domain | W3C validator |