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Mathbox for Wolf Lammen |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > wl-ax11-lem3 | Structured version Visualization version Unicode version |
Description: Lemma. (Contributed by Wolf Lammen, 30-Jun-2019.) |
Ref | Expression |
---|---|
wl-ax11-lem3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfna1 1985 |
. 2
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2 | wl-naev 31862 |
. . . . 5
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3 | nfa1 1979 |
. . . . . . 7
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4 | nfna1 1985 |
. . . . . . 7
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5 | 3, 4 | nfan 2011 |
. . . . . 6
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6 | axc11n 2143 |
. . . . . . . . . . 11
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7 | wl-aetr 31863 |
. . . . . . . . . . 11
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8 | 6, 7 | syl5 33 |
. . . . . . . . . 10
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9 | 8 | aecoms 2146 |
. . . . . . . . 9
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10 | 9 | con3d 139 |
. . . . . . . 8
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11 | 10 | imdistani 696 |
. . . . . . 7
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12 | wl-ax11-lem2 31916 |
. . . . . . 7
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13 | 11, 12 | syl 17 |
. . . . . 6
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14 | 5, 13 | alrimi 1955 |
. . . . 5
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15 | 2, 14 | sylan2 477 |
. . . 4
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16 | 15 | expcom 437 |
. . 3
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17 | ax-wl-11v 31914 |
. . 3
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18 | 16, 17 | syl6 34 |
. 2
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19 | 1, 18 | nfd 1956 |
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-12 1933 ax-13 2091 ax-wl-11v 31914 |
This theorem depends on definitions: df-bi 189 df-an 373 df-ex 1664 df-nf 1668 |
This theorem is referenced by: wl-ax11-lem4 31918 wl-ax11-lem6 31920 |
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