![]() |
New Foundations Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > NFE Home > Th. List > ecase3 | Unicode version |
Description: Inference for elimination by cases. (Contributed by NM, 23-Mar-1995.) (Proof shortened by Wolf Lammen, 26-Nov-2012.) |
Ref | Expression |
---|---|
ecase3.1 |
![]() ![]() ![]() ![]() ![]() ![]() |
ecase3.2 |
![]() ![]() ![]() ![]() ![]() ![]() |
ecase3.3 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
ecase3 |
![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ecase3.1 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() | |
2 | ecase3.2 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | jaoi 368 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4 | ecase3.3 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
5 | 3, 4 | pm2.61i 156 |
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 177 df-or 359 |
This theorem is referenced by: equvini 1987 eueq3 3012 |
Copyright terms: Public domain | W3C validator |