Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > hbimd | Structured version Visualization version Unicode version |
Description: Deduction form of bound-variable hypothesis builder hbim 2127. (Contributed by NM, 14-May-1993.) (Proof shortened by Wolf Lammen, 3-Jan-2018.) |
Ref | Expression |
---|---|
hbimd.1 | |
hbimd.2 | |
hbimd.3 |
Ref | Expression |
---|---|
hbimd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbimd.1 | . . . 4 | |
2 | hbimd.2 | . . . 4 | |
3 | 1, 2 | nf5dh 2026 | . . 3 |
4 | hbimd.3 | . . . 4 | |
5 | 1, 4 | nf5dh 2026 | . . 3 |
6 | 3, 5 | nfimd 1823 | . 2 |
7 | 6 | nf5rd 2066 | 1 |
Colors of variables: wff setvar class |
Syntax hints: 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-an 386 df-ex 1705 df-nf 1710 |
This theorem is referenced by: dvelimf-o 34214 |
Copyright terms: Public domain | W3C validator |