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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 1529 |
. 2
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3 | 2 | sbh 1786 |
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 1457 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-4 1520 ax-i9 1540 ax-ial 1544 |
This theorem depends on definitions: df-bi 117 df-nf 1471 df-sb 1773 |
This theorem is referenced by: sbf2 1788 sbequ5 1792 sbequ6 1793 sbt 1794 sblim 1967 moimv 2102 moanim 2110 sbabel 2356 nfcdeq 2971 oprcl 3814 |
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