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Mirrors > Home > ILE Home > Th. List > nfalt | Unicode version |
Description: Closed form of nfal 1576. (Contributed by Jim Kingdon, 11-May-2018.) |
Ref | Expression |
---|---|
nfalt |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alim 1457 |
. . . 4
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2 | alcom 1478 |
. . . 4
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3 | 1, 2 | syl6ib 161 |
. . 3
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4 | 3 | alimi 1455 |
. 2
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5 | df-nf 1461 |
. . . 4
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6 | 5 | albii 1470 |
. . 3
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7 | alcom 1478 |
. . 3
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8 | 6, 7 | bitri 184 |
. 2
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9 | df-nf 1461 |
. 2
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10 | 4, 8, 9 | 3imtr4i 201 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-7 1448 ax-gen 1449 |
This theorem depends on definitions: df-bi 117 df-nf 1461 |
This theorem is referenced by: dvelimor 2018 |
Copyright terms: Public domain | W3C validator |