Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > orel1 | Unicode version |
Description: Elimination of disjunction by denial of a disjunct. Theorem *2.55 of [WhiteheadRussell] p. 107. (Contributed by NM, 12-Aug-1994.) (Proof shortened by Wolf Lammen, 21-Jul-2012.) |
Ref | Expression |
---|---|
orel1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.53 673 | . 2 | |
2 | 1 | com12 30 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wo 661 |
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-in2 577 ax-io 662 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: biorf 695 pm2.25dc 825 pm2.85dc 844 euor2 1999 prel12 3563 funun 4964 acexmidlema 5523 acexmidlemb 5524 |
Copyright terms: Public domain | W3C validator |