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Mirrors > Home > ILE Home > Th. List > r19.28m | Unicode version |
Description: Restricted quantifier version of Theorem 19.28 of [Margaris] p. 90. It is valid only when the domain of quantification is inhabited. (Contributed by Jim Kingdon, 5-Aug-2018.) |
Ref | Expression |
---|---|
r19.28m.1 |
Ref | Expression |
---|---|
r19.28m |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | r19.26 2583 | . 2 | |
2 | r19.28m.1 | . . . 4 | |
3 | 2 | r19.3rm 3482 | . . 3 |
4 | 3 | anbi1d 461 | . 2 |
5 | 1, 4 | bitr4id 198 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wnf 1440 wex 1472 wcel 2128 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-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-cleq 2150 df-clel 2153 df-ral 2440 |
This theorem is referenced by: r19.28mv 3486 raaanlem 3499 |
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