Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 685 | . 2 | |
3 | 1, 2 | mpbir 145 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 |
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 609 ax-in2 610 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: mptnan 1418 eueq3dc 2904 dtruex 4541 canth 5804 nntri2 6470 nndcel 6476 |
Copyright terms: Public domain | W3C validator |