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Mirrors > Home > ILE Home > Th. List > imnani | Unicode version |
Description: Express implication in terms of conjunction. (Contributed by Mario Carneiro, 28-Sep-2015.) |
Ref | Expression |
---|---|
imnani.1 |
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Ref | Expression |
---|---|
imnani |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imnani.1 |
. 2
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2 | imnan 680 |
. 2
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3 | 1, 2 | mpbir 145 |
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-in1 604 ax-in2 605 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: mptnan 1402 eueq3dc 2862 dtruex 4482 nntri2 6398 nndcel 6404 |
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