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Mirrors > Home > ILE Home > Th. List > ralbid | Unicode version |
Description: Formula-building rule for restricted universal quantifier (deduction rule). (Contributed by NM, 27-Jun-1998.) |
Ref | Expression |
---|---|
ralbid.1 | |
ralbid.2 |
Ref | Expression |
---|---|
ralbid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralbid.1 | . 2 | |
2 | ralbid.2 | . . 3 | |
3 | 2 | adantr 261 | . 2 |
4 | 1, 3 | ralbida 2320 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wnf 1349 wcel 1393 wral 2306 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-4 1400 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-ral 2311 |
This theorem is referenced by: ralbidv 2326 sbcralt 2834 riota5f 5492 |
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