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Mirrors > Home > ILE Home > Th. List > 19.41h | Unicode version |
Description: Theorem 19.41 of [Margaris] p. 90. New proofs should use 19.41 1665 instead. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) (New usage is discouraged.) |
Ref | Expression |
---|---|
19.41h.1 |
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Ref | Expression |
---|---|
19.41h |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.40 1611 |
. . 3
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2 | 19.41h.1 |
. . . . 5
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3 | id 19 |
. . . . 5
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4 | 2, 3 | exlimih 1573 |
. . . 4
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5 | 4 | anim2i 340 |
. . 3
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6 | 1, 5 | syl 14 |
. 2
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7 | pm3.21 262 |
. . . 4
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8 | 2, 7 | eximdh 1591 |
. . 3
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9 | 8 | impcom 124 |
. 2
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10 | 6, 9 | impbii 125 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: 19.42h 1666 sbh 1750 sbidm 1824 19.41v 1875 2exeu 2092 |
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