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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 |
Ref | Expression |
---|---|
imnani |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imnani.1 | . 2 | |
2 | imnan 624 | . 2 | |
3 | 1, 2 | mpbir 134 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 97 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: mptnan 1314 eueq3dc 2715 dtruex 4283 nntri2 6073 nndcel 6078 |
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