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Mirrors > Home > ILE Home > Th. List > 19.21ht | Unicode version |
Description: Closed form of Theorem 19.21 of [Margaris] p. 90. (Contributed by NM, 27-May-1997.) (New usage is discouraged.) |
Ref | Expression |
---|---|
19.21ht |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alim 1457 |
. . . . 5
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2 | 1 | imim2d 54 |
. . . 4
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3 | 2 | com12 30 |
. . 3
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4 | 3 | sps 1537 |
. 2
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5 | hba1 1540 |
. . . 4
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6 | ax-4 1510 |
. . . 4
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7 | hba1 1540 |
. . . . 5
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8 | 7 | a1i 9 |
. . . 4
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9 | 5, 6, 8 | hbimd 1573 |
. . 3
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10 | ax-4 1510 |
. . . . 5
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11 | 10 | imim2i 12 |
. . . 4
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12 | 11 | alimi 1455 |
. . 3
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13 | 9, 12 | syl6 33 |
. 2
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14 | 4, 13 | impbid 129 |
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-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-4 1510 ax-ial 1534 ax-i5r 1535 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: 19.21t 1582 sbal2 2020 |
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