Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > pm3.11dc | Unicode version |
Description: Theorem *3.11 of [WhiteheadRussell] p. 111, but for decidable propositions. The converse, pm3.1 703, holds for all propositions, not just decidable ones. (Contributed by Jim Kingdon, 22-Apr-2018.) |
Ref | Expression |
---|---|
pm3.11dc | DECID DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anordc 897 | . . . 4 DECID DECID | |
2 | 1 | imp 122 | . . 3 DECID DECID |
3 | 2 | biimprd 156 | . 2 DECID DECID |
4 | 3 | ex 113 | 1 DECID DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 102 wb 103 wo 661 DECID wdc 775 |
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 ax-io 662 |
This theorem depends on definitions: df-bi 115 df-dc 776 |
This theorem is referenced by: pm3.12dc 899 pm3.13dc 900 |
Copyright terms: Public domain | W3C validator |