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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sp 1937 |
. . . . 5
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2 | axc9 2140 |
. . . . 5
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3 | 1, 2 | syl7 70 |
. . . 4
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4 | axc112 2020 |
. . . 4
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5 | axc11 2148 |
. . . . . 6
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6 | 5 | pm2.43i 49 |
. . . . 5
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7 | axc112 2020 |
. . . . 5
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8 | 6, 7 | syl5 33 |
. . . 4
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9 | 3, 4, 8 | pm2.61ii 169 |
. . 3
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10 | 9 | axc4i 1980 |
. 2
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11 | ax-11 1920 |
. 2
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12 | 10, 11 | syl 17 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-11 1920 ax-12 1933 ax-13 2091 |
This theorem depends on definitions: df-bi 189 df-an 373 df-ex 1664 df-nf 1668 |
This theorem is referenced by: nfae 2150 hbnae 2151 aevALT 2155 drex2 2162 ax6e2eq 36924 |
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