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Mirrors > Home > NFE Home > Th. List > ax11inda2 | Unicode version |
Description: Induction step for
constructing a substitution instance of ax-11o 2141
without using ax-11o 2141. Quantification case. When ![]() ![]() |
Ref | Expression |
---|---|
ax11inda2.1 |
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Ref | Expression |
---|---|
ax11inda2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 6 |
. . . . 5
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2 | a16g-o 2186 |
. . . . 5
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3 | 1, 2 | syl5 28 |
. . . 4
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4 | 3 | a1d 22 |
. . 3
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5 | 4 | a1d 22 |
. 2
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6 | ax11inda2.1 |
. . 3
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7 | 6 | ax11indalem 2197 |
. 2
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8 | 5, 7 | pm2.61i 156 |
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 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-4 2135 ax-5o 2136 ax-6o 2137 ax-10o 2139 ax-12o 2142 ax-16 2144 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 |
This theorem is referenced by: ax11inda 2200 |
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