Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > 3adantl3 | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.) |
Ref | Expression |
---|---|
3adantl.1 |
Ref | Expression |
---|---|
3adantl3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simpa 963 | . 2 | |
2 | 3adantl.1 | . 2 | |
3 | 1, 2 | sylan 281 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 w3a 947 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 949 |
This theorem is referenced by: ltsopr 7372 lediv2a 8617 muldvds1 11430 muldvds2 11431 dvdscmul 11432 dvdsmulc 11433 rpexp 11743 iscnp4 12298 cnpnei 12299 xblm 12497 |
Copyright terms: Public domain | W3C validator |