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Axiom ax-pre-mulgt0 9590
Description: The product of two positive reals is positive. Axiom 21 of 22 for real and complex numbers, justified by theorem axpre-mulgt0 9566. Normally new proofs would use axmulgt0 9680. (New usage is discouraged.) (Contributed by NM, 13-Oct-2005.)
Assertion
Ref Expression
ax-pre-mulgt0

Detailed syntax breakdown of Axiom ax-pre-mulgt0
StepHypRef Expression
1 cA . . . 4
2 cr 9512 . . . 4
31, 2wcel 1818 . . 3
4 cB . . . 4
54, 2wcel 1818 . . 3
63, 5wa 369 . 2
7 cc0 9513 . . . . 5
8 cltrr 9517 . . . . 5
97, 1, 8wbr 4452 . . . 4
107, 4, 8wbr 4452 . . . 4
119, 10wa 369 . . 3
12 cmul 9518 . . . . 5
131, 4, 12co 6296 . . . 4
147, 13, 8wbr 4452 . . 3
1511, 14wi 4 . 2
166, 15wi 4 1
Colors of variables: wff setvar class
This axiom is referenced by:  axmulgt0  9680
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