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Mirrors > Home > ILE Home > Th. List > r19.27v | Unicode version |
Description: Restricted quantitifer version of one direction of 19.27 1541. (The other direction holds when is inhabited, see r19.27mv 3490.) (Contributed by NM, 3-Jun-2004.) (Proof shortened by Andrew Salmon, 30-May-2011.) (Proof shortened by Wolf Lammen, 17-Jun-2023.) |
Ref | Expression |
---|---|
r19.27v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 19 | . . . 4 | |
2 | 1 | ralrimivw 2531 | . . 3 |
3 | 2 | anim2i 340 | . 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 12690 |
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