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Mirrors > Home > ILE Home > Th. List > r19.28v | Unicode version |
Description: Restricted quantifier version of one direction of 19.28 1543. (The other direction holds when is inhabited, see r19.28mv 3486.) (Contributed by NM, 2-Apr-2004.) (Proof shortened by Wolf Lammen, 17-Jun-2023.) |
Ref | Expression |
---|---|
r19.28v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 19 | . . . 4 | |
2 | 1 | ralrimivw 2531 | . . 3 |
3 | 2 | anim1i 338 | . 2 |
4 | r19.26 2583 | . 2 | |
5 | 3, 4 | sylibr 133 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wral 2435 |
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 1427 ax-gen 1429 ax-4 1490 ax-17 1506 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-ral 2440 |
This theorem is referenced by: txlm 12721 |
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