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Mirrors > Home > ILE Home > Th. List > 19.3 | Unicode version |
Description: A wff may be quantified with a variable not free in it. Theorem 19.3 of [Margaris] p. 89. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 24-Sep-2016.) |
Ref | Expression |
---|---|
19.3.1 |
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Ref | Expression |
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19.3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sp 1489 |
. 2
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2 | 19.3.1 |
. . 3
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3 | 2 | nfri 1500 |
. 2
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4 | 1, 3 | impbii 125 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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-4 1488 |
This theorem depends on definitions: df-bi 116 df-nf 1438 |
This theorem is referenced by: 19.16 1535 19.17 1536 19.27 1541 19.28 1543 19.37-1 1653 rexxfrd 4392 |
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