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Mirrors > Home > ILE Home > Th. List > 19.9 | Unicode version |
Description: A wff may be existentially quantified with a variable not free in it. Theorem 19.9 of [Margaris] p. 89. (Contributed by FL, 24-Mar-2007.) (Revised by Mario Carneiro, 24-Sep-2016.) (Proof shortened by Wolf Lammen, 30-Dec-2017.) |
Ref | Expression |
---|---|
19.9.1 |
Ref | Expression |
---|---|
19.9 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.9.1 | . . 3 | |
2 | 1 | nfri 1452 | . 2 |
3 | 2 | 19.9h 1574 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 103 wnf 1389 wex 1421 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 |
This theorem depends on definitions: df-bi 115 df-nf 1390 |
This theorem is referenced by: alexim 1576 19.19 1596 19.36-1 1603 19.44 1612 19.45 1613 19.41 1616 |
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