Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > ralimi2 | Unicode version |
Description: Inference quantifying both antecedent and consequent. (Contributed by NM, 22-Feb-2004.) |
Ref | Expression |
---|---|
ralimi2.1 |
Ref | Expression |
---|---|
ralimi2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralimi2.1 | . . 3 | |
2 | 1 | alimi 1431 | . 2 |
3 | df-ral 2419 | . 2 | |
4 | df-ral 2419 | . 2 | |
5 | 2, 3, 4 | 3imtr4i 200 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1329 wcel 1480 wral 2414 |
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-5 1423 ax-gen 1425 |
This theorem depends on definitions: df-bi 116 df-ral 2419 |
This theorem is referenced by: ralimia 2491 ralcom3 2596 bj-nntrans 13138 bj-findis 13166 |
Copyright terms: Public domain | W3C validator |