Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > hbnt | Unicode version |
Description: Closed theorem version of bound-variable hypothesis builder hbn 1632. (Contributed by NM, 5-Aug-1993.) (Revised by NM, 2-Feb-2015.) |
Ref | Expression |
---|---|
hbnt |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 1487 | . . . 4 | |
2 | 1 | con3i 621 | . . 3 |
3 | ax6b 1629 | . . 3 | |
4 | 2, 3 | syl 14 | . 2 |
5 | con3 631 | . . 3 | |
6 | 5 | al2imi 1434 | . 2 |
7 | 4, 6 | syl5 32 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1329 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 603 ax-in2 604 ax-5 1423 ax-gen 1425 ax-ie2 1470 ax-4 1487 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-fal 1337 |
This theorem is referenced by: hbn 1632 hbnd 1633 nfnt 1634 |
Copyright terms: Public domain | W3C validator |