Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > syl121anc | Unicode version |
Description: Syllogism combined with contraction. (Contributed by NM, 11-Mar-2012.) |
Ref | Expression |
---|---|
sylXanc.1 | |
sylXanc.2 | |
sylXanc.3 | |
sylXanc.4 | |
syl121anc.5 |
Ref | Expression |
---|---|
syl121anc |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylXanc.1 | . 2 | |
2 | sylXanc.2 | . . 3 | |
3 | sylXanc.3 | . . 3 | |
4 | 2, 3 | jca 300 | . 2 |
5 | sylXanc.4 | . 2 | |
6 | syl121anc.5 | . 2 | |
7 | 1, 4, 5, 6 | syl3anc 1169 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: syl122anc 1178 tfisi 4328 div32apd 7900 div13apd 7901 expdivapd 9619 |
Copyright terms: Public domain | W3C validator |