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Mirrors > Home > MPE Home > Th. List > hbae | Structured version Visualization version Unicode version |
Description: All variables are effectively bound in an identical variable specifier. (Contributed by NM, 13-May-1993.) (Proof shortened by Wolf Lammen, 21-Apr-2018.) |
Ref | Expression |
---|---|
hbae |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sp 2053 | . . . . 5 | |
2 | axc9 2302 | . . . . 5 | |
3 | 1, 2 | syl7 74 | . . . 4 |
4 | axc11r 2187 | . . . 4 | |
5 | axc11 2314 | . . . . . 6 | |
6 | 5 | pm2.43i 52 | . . . . 5 |
7 | axc11r 2187 | . . . . 5 | |
8 | 6, 7 | syl5 34 | . . . 4 |
9 | 3, 4, 8 | pm2.61ii 177 | . . 3 |
10 | 9 | axc4i 2131 | . 2 |
11 | ax-11 2034 | . 2 | |
12 | 10, 11 | syl 17 | 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-11 2034 ax-12 2047 ax-13 2246 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 |
This theorem is referenced by: nfae 2316 hbnae 2317 aevALTOLD 2321 drex2 2328 ax6e2eq 38773 |
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