![]() |
Mathbox for Jarvin Udandy |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > Mathboxes > astbstanbst | Structured version Visualization version Unicode version |
Description: Given a is equivalent to T., also given that b is equivalent to T, there exists a proof for a and b is equivalent to T. (Contributed by Jarvin Udandy, 29-Aug-2016.) |
Ref | Expression |
---|---|
astbstanbst.1 |
![]() ![]() ![]() ![]() ![]() ![]() |
astbstanbst.2 |
![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
astbstanbst |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | astbstanbst.1 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | aistia 38484 |
. . 3
![]() ![]() |
3 | astbstanbst.2 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() | |
4 | 3 | aistia 38484 |
. . 3
![]() ![]() |
5 | 2, 4 | pm3.2i 457 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() |
6 | 5 | bitru 1456 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 189 df-an 373 df-tru 1447 |
This theorem is referenced by: dandysum2p2e4 38586 |
Copyright terms: Public domain | W3C validator |