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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 |
Ref | Expression |
---|---|
sbf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbf.1 | . . 3 | |
2 | 1 | nfri 1499 | . 2 |
3 | 2 | sbh 1749 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wnf 1436 wsb 1735 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-i9 1510 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 |
This theorem is referenced by: sbf2 1751 sbequ5 1755 sbequ6 1756 sbt 1757 sblim 1930 moimv 2065 moanim 2073 sbabel 2307 nfcdeq 2906 oprcl 3729 |
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