| New Foundations Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > NFE Home > Th. List > iba | Unicode version | ||
| Description: Introduction of antecedent as conjunct. Theorem *4.73 of [WhiteheadRussell] p. 121. (Contributed by NM, 30-Mar-1994.) |
| Ref | Expression |
|---|---|
| iba |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | pm3.21 435 |
. 2
| |
| 2 | simpl 443 |
. 2
| |
| 3 | 1, 2 | impbid1 194 |
1
|
| Colors of variables: wff setvar class |
| Syntax hints: |
| This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 |
| This theorem depends on definitions: df-bi 177 df-an 360 |
| This theorem is referenced by: biantru 491 biantrud 493 ancrb 533 pm5.54 870 rbaibd 876 dedlem0a 918 unineq 3505 dfphi2 4569 opres 4978 resieq 4979 cores 5084 fvres 5342 fressnfv 5439 epelcres 6328 |
| Copyright terms: Public domain | W3C validator |