![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
Mirrors > Home > MPE Home > Th. List > vr1cl | Structured version Unicode version |
Description: The generator of a univariate polynomial algebra is contained in the base set. (Contributed by Stefan O'Rear, 19-Mar-2015.) |
Ref | Expression |
---|---|
vr1cl.x |
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
vr1cl.p |
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
vr1cl.b |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
vr1cl |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vr1cl.x |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | vr1val 17757 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
3 | eqid 2451 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | eqid 2451 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
5 | vr1cl.p |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | eqid 2451 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
7 | vr1cl.b |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 5, 6, 7 | ply1bas 17760 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 1onn 7180 |
. . . 4
![]() ![]() ![]() ![]() | |
10 | 9 | a1i 11 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | id 22 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
12 | 0lt1o 7046 |
. . . 4
![]() ![]() ![]() ![]() | |
13 | 12 | a1i 11 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 3, 4, 8, 10, 11, 13 | mvrcl 17637 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 2, 14 | syl5eqel 2543 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Copyright terms: Public domain | W3C validator |