Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > biorfi | Unicode version |
Description: A wff is equivalent to its disjunction with falsehood. (Contributed by NM, 23-Mar-1995.) |
Ref | Expression |
---|---|
biorfi.1 |
Ref | Expression |
---|---|
biorfi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biorfi.1 | . 2 | |
2 | orc 702 | . . 3 | |
3 | orel2 716 | . . 3 | |
4 | 2, 3 | impbid2 142 | . 2 |
5 | 1, 4 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wb 104 wo 698 |
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-in2 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: pm4.43 938 dn1dc 949 excxor 1367 un0 3438 opthprc 4650 frec0g 6357 if0ab 13549 |
Copyright terms: Public domain | W3C validator |