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Mirrors > Home > ILE Home > Th. List > r19.2m | Unicode version |
Description: Theorem 19.2 of [Margaris] p. 89 with restricted quantifiers (compare 19.2 1575). The restricted version is valid only when the domain of quantification is inhabited. (Contributed by Jim Kingdon, 5-Aug-2018.) |
Ref | Expression |
---|---|
r19.2m |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ral 2365 |
. . . 4
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2 | exintr 1571 |
. . . 4
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3 | 1, 2 | sylbi 120 |
. . 3
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4 | df-rex 2366 |
. . 3
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5 | 3, 4 | syl6ibr 161 |
. 2
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6 | 5 | impcom 124 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1382 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-4 1446 ax-ial 1473 |
This theorem depends on definitions: df-bi 116 df-ral 2365 df-rex 2366 |
This theorem is referenced by: intssunim 3716 riinm 3808 trintssmOLD 3959 iinexgm 3996 xpiindim 4586 cnviinm 4985 eusvobj2 5652 iinerm 6378 rexfiuz 10483 r19.2uz 10487 climuni 10742 |
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