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Mirrors > Home > ILE Home > Th. List > hbeu | Unicode version |
Description: Bound-variable hypothesis builder for uniqueness. Note that and needn't be distinct. (Contributed by NM, 8-Mar-1995.) (Proof rewritten by Jim Kingdon, 24-May-2018.) |
Ref | Expression |
---|---|
hbeu.1 |
Ref | Expression |
---|---|
hbeu |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbeu.1 | . . . 4 | |
2 | 1 | nfi 1442 | . . 3 |
3 | 2 | nfeu 2025 | . 2 |
4 | 3 | nfri 1499 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1333 weu 2006 |
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-io 699 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-tru 1338 df-nf 1441 df-sb 1743 df-eu 2009 |
This theorem is referenced by: hbmo 2045 2eu7 2100 |
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