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Mirrors > Home > MPE Home > Th. List > rpmulcld | Structured version Visualization version Unicode version |
Description: Closure law for multiplication of positive reals. Part of Axiom 7 of [Apostol] p. 20. (Contributed by Mario Carneiro, 28-May-2016.) |
Ref | Expression |
---|---|
rpred.1 |
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rpaddcld.1 |
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Ref | Expression |
---|---|
rpmulcld |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rpred.1 |
. 2
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2 | rpaddcld.1 |
. 2
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3 | rpmulcl 11352 |
. 2
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4 | 1, 2, 3 | syl2anc 671 |
1
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