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Mathbox for Jonathan Ben-Naim |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > bnj1171 | Structured version Visualization version Unicode version |
Description: Technical lemma for bnj69 29812. This lemma may no longer be used or have become an indirect lemma of the theorem in question (i.e. a lemma of a lemma... of the theorem). (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bnj1171.13 |
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bnj1171.129 |
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Ref | Expression |
---|---|
bnj1171 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj1171.129 |
. 2
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2 | bnj1171.13 |
. . . . . . . . . . 11
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3 | 2 | sseld 3430 |
. . . . . . . . . 10
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4 | 3 | pm4.71rd 640 |
. . . . . . . . 9
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5 | 4 | imbi1d 319 |
. . . . . . . 8
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6 | impexp 448 |
. . . . . . . 8
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7 | 5, 6 | syl6bb 265 |
. . . . . . 7
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8 | con2b 336 |
. . . . . . . 8
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9 | 8 | imbi2i 314 |
. . . . . . 7
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10 | 7, 9 | syl6bbr 267 |
. . . . . 6
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11 | 10 | anbi2d 709 |
. . . . 5
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12 | 11 | pm5.74i 249 |
. . . 4
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13 | 12 | albii 1690 |
. . 3
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14 | 13 | exbii 1717 |
. 2
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15 | 1, 14 | mpbir 213 |
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 1668 ax-4 1681 ax-5 1757 ax-6 1804 ax-7 1850 ax-10 1914 ax-11 1919 ax-12 1932 ax-13 2090 ax-ext 2430 |
This theorem depends on definitions: df-bi 189 df-an 373 df-tru 1446 df-ex 1663 df-nf 1667 df-sb 1797 df-clab 2437 df-cleq 2443 df-clel 2446 df-in 3410 df-ss 3417 |
This theorem is referenced by: bnj1190 29810 |
Copyright terms: Public domain | W3C validator |