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Mirrors > Home > ILE Home > Th. List > remulcli | Unicode version |
Description: Closure law for multiplication of reals. (Contributed by NM, 17-Jan-1997.) |
Ref | Expression |
---|---|
recni.1 | |
axri.2 |
Ref | Expression |
---|---|
remulcli |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | recni.1 | . 2 | |
2 | axri.2 | . 2 | |
3 | remulcl 7101 | . 2 | |
4 | 1, 2, 3 | mp2an 416 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1433 (class class class)co 5532 cr 6980 cmul 6986 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia3 106 ax-mulrcl 7075 |
This theorem is referenced by: addltmul 8267 nn0lele2xi 8339 numltc 8502 |
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