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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 1886 |
. 2
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2 | sb56 1885 |
. 2
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3 | 1, 2 | bitr4i 187 |
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 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-11 1506 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-sb 1763 |
This theorem is referenced by: sbnv 1888 sborv 1890 sbi2v 1892 nfsbxy 1942 nfsbxyt 1943 2sb5 1983 dfsb7 1991 sb7f 1992 sbexyz 2003 sbc5 2986 |
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