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 656 | . 2 | |
3 | 1, 2 | mpbir 144 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 102 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 576 ax-in2 577 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: mptnan 1354 eueq3dc 2766 dtruex 4302 nntri2 6096 nndcel 6101 |
Copyright terms: Public domain | W3C validator |