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Mirrors > Home > ILE Home > Th. List > com24 | Unicode version |
Description: Commutation of antecedents. Swap 2nd and 4th. (Contributed by NM, 25-Apr-1994.) (Proof shortened by Wolf Lammen, 28-Jul-2012.) |
Ref | Expression |
---|---|
com4.1 |
Ref | Expression |
---|---|
com24 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | com4.1 | . . 3 | |
2 | 1 | com4t 85 | . 2 |
3 | 2 | com13 80 | 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: com25 91 tfrlem9 6298 nnmordi 6495 fundmen 6784 fiintim 6906 elfzodifsumelfzo 10157 ssfzo12 10180 dvdsmodexp 11757 infpnlem1 12311 grpinveu 12741 cnpnei 13013 |
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