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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 1448 | . 2 |
3 | df-ral 2453 | . 2 | |
4 | df-ral 2453 | . 2 | |
5 | 2, 3, 4 | 3imtr4i 200 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1346 wcel 2141 wral 2448 |
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 1440 ax-gen 1442 |
This theorem depends on definitions: df-bi 116 df-ral 2453 |
This theorem is referenced by: ralimia 2531 ralcom3 2637 pcmptcl 12294 bj-nntrans 13986 bj-findis 14014 |
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