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Mirrors > Home > ILE Home > Th. List > rnlem | Unicode version |
Description: Lemma used in construction of real numbers. (Contributed by NM, 4-Sep-1995.) (Proof shortened by Andrew Salmon, 26-Jun-2011.) |
Ref | Expression |
---|---|
rnlem |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | an4 586 |
. . . 4
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2 | 1 | biimpi 120 |
. . 3
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3 | an42 587 |
. . . 4
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4 | 3 | biimpri 133 |
. . 3
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5 | 2, 4 | jca 306 |
. 2
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6 | 3 | biimpi 120 |
. . 3
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7 | 6 | adantl 277 |
. 2
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8 | 5, 7 | impbii 126 |
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 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: (None) |
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