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Mirrors > Home > MPE Home > Th. List > hbnt | Structured version Visualization version Unicode version |
Description: Closed theorem version of bound-variable hypothesis builder hbn 2146. (Contributed by NM, 10-May-1993.) (Proof shortened by Wolf Lammen, 3-Mar-2018.) (Proof shortened by Wolf Lammen, 14-Oct-2021.) |
Ref | Expression |
---|---|
hbnt |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nf5-1 2023 | . . 3 | |
2 | 1 | nfnd 1785 | . 2 |
3 | 2 | nf5rd 2066 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wal 1481 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-10 2019 ax-12 2047 |
This theorem depends on definitions: df-bi 197 df-or 385 df-ex 1705 df-nf 1710 |
This theorem is referenced by: hbn 2146 hbnd 2147 nfntOLD 2209 bj-hbext 32701 |
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