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Mirrors > Home > ILE Home > Th. List > 19.32r | Unicode version |
Description: One direction of Theorem
19.32 of [Margaris] p. 90. The converse holds
if ![]() |
Ref | Expression |
---|---|
19.32r.1 |
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Ref | Expression |
---|---|
19.32r |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.32r.1 |
. . 3
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2 | orc 702 |
. . 3
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3 | 1, 2 | alrimi 1503 |
. 2
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4 | olc 701 |
. . 3
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5 | 4 | alimi 1432 |
. 2
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6 | 3, 5 | jaoi 706 |
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-io 699 ax-5 1424 ax-gen 1426 ax-4 1488 |
This theorem depends on definitions: df-bi 116 df-nf 1438 |
This theorem is referenced by: 19.31r 1660 |
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