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Mirrors > Home > ILE Home > Th. List > nfequid | Unicode version |
Description: Bound-variable hypothesis builder for . This theorem tells us that any variable, including , is effectively not free in , even though is technically free according to the traditional definition of free variable. (Contributed by NM, 13-Jan-2011.) (Revised by NM, 21-Aug-2017.) |
Ref | Expression |
---|---|
nfequid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equid 1589 | . 2 | |
2 | 1 | nfth 1353 | 1 |
Colors of variables: wff set class |
Syntax hints: wnf 1349 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-gen 1338 ax-ie2 1383 ax-8 1395 ax-17 1419 ax-i9 1423 |
This theorem depends on definitions: df-bi 110 df-nf 1350 |
This theorem is referenced by: (None) |
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