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Mirrors > Home > ILE Home > Th. List > r19.27m | Unicode version |
Description: Restricted quantifier version of Theorem 19.27 of [Margaris] p. 90. It is valid only when the domain of quantification is inhabited. (Contributed by Jim Kingdon, 5-Aug-2018.) |
Ref | Expression |
---|---|
r19.27m.1 |
Ref | Expression |
---|---|
r19.27m |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | r19.27m.1 | . . . 4 | |
2 | 1 | r19.3rm 3421 | . . 3 |
3 | 2 | anbi2d 459 | . 2 |
4 | r19.26 2535 | . 2 | |
5 | 3, 4 | syl6rbbr 198 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wnf 1421 wex 1453 wcel 1465 wral 2393 |
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 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-cleq 2110 df-clel 2113 df-ral 2398 |
This theorem is referenced by: r19.27mv 3429 raaanlem 3438 |
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