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Mirrors > Home > ILE Home > Th. List > com15 | Unicode version |
Description: Commutation of antecedents. Swap 1st and 5th. (Contributed by Jeff Hankins, 28-Jun-2009.) (Proof shortened by Wolf Lammen, 29-Jul-2012.) |
Ref | Expression |
---|---|
com5.1 |
Ref | Expression |
---|---|
com15 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | com5.1 | . . 3 | |
2 | 1 | com5l 92 | . 2 |
3 | 2 | com4r 86 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: (None) |
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