![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
Mirrors > Home > MPE Home > Th. List > moabs | Unicode version |
Description: Absorption of existence condition by "at most one." (Contributed by NM, 4-Nov-2002.) |
Ref | Expression |
---|---|
moabs |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm5.4 362 | . 2 | |
2 | df-mo 2287 | . . 3 | |
3 | 2 | imbi2i 312 | . 2 |
4 | 1, 3, 2 | 3bitr4ri 278 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -> wi 4 <-> wb 184
E. wex 1612 E! weu 2282 E* wmo 2283 |
This theorem is referenced by: mo3 2323 mo3OLD 2324 dffun7 5619 wl-mo3t 30021 |
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 185 df-mo 2287 |
Copyright terms: Public domain | W3C validator |