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Mirrors > Home > ILE Home > Th. List > sbf | Unicode version |
Description: Substitution for a variable not free in a wff does not affect it. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 4-Oct-2016.) |
Ref | Expression |
---|---|
sbf.1 |
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Ref | Expression |
---|---|
sbf |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbf.1 |
. . 3
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2 | 1 | nfri 1464 |
. 2
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3 | 2 | sbh 1713 |
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 1388 ax-gen 1390 ax-ie1 1434 ax-ie2 1435 ax-4 1452 ax-i9 1475 ax-ial 1479 |
This theorem depends on definitions: df-bi 116 df-nf 1402 df-sb 1700 |
This theorem is referenced by: sbf2 1715 sbequ5 1719 sbequ6 1720 sbt 1721 sblim 1886 moimv 2021 moanim 2029 sbabel 2261 nfcdeq 2851 oprcl 3668 |
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