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Mirrors > Home > ILE Home > Th. List > sb5 | Unicode version |
Description: Equivalence for substitution. Similar to Theorem 6.1 of [Quine] p. 40. (Contributed by NM, 18-Aug-1993.) (Revised by NM, 14-Apr-2008.) |
Ref | Expression |
---|---|
sb5 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb6 1840 |
. 2
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2 | sb56 1839 |
. 2
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3 | 1, 2 | bitr4i 186 |
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 1406 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-8 1465 ax-11 1467 ax-4 1470 ax-17 1489 ax-i9 1493 ax-ial 1497 |
This theorem depends on definitions: df-bi 116 df-sb 1719 |
This theorem is referenced by: sbnv 1842 sborv 1844 sbi2v 1846 nfsbxy 1893 nfsbxyt 1894 2sb5 1934 dfsb7 1942 sb7f 1943 sbexyz 1954 sbc5 2901 |
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