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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 1898 |
. 2
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2 | sb56 1897 |
. 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 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-11 1517 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 |
This theorem depends on definitions: df-bi 117 df-sb 1774 |
This theorem is referenced by: sbnv 1900 sborv 1902 sbi2v 1904 nfsbxy 1954 nfsbxyt 1955 2sb5 1995 dfsb7 2003 sb7f 2004 sbexyz 2015 sbc5 3001 |
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