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Mirrors > Home > ILE Home > Th. List > ax-mulcom | Unicode version |
Description: Multiplication of complex numbers is commutative. Axiom for real and complex numbers, justified by theorem axmulcom 7308. Proofs should normally use mulcom 7373 instead. (New usage is discouraged.) (Contributed by NM, 22-Nov-1994.) |
Ref | Expression |
---|---|
ax-mulcom |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . . 4
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2 | cc 7250 |
. . . 4
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3 | 1, 2 | wcel 1434 |
. . 3
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4 | cB |
. . . 4
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5 | 4, 2 | wcel 1434 |
. . 3
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6 | 3, 5 | wa 102 |
. 2
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7 | cmul 7257 |
. . . 4
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8 | 1, 4, 7 | co 5590 |
. . 3
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9 | 4, 1, 7 | co 5590 |
. . 3
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10 | 8, 9 | wceq 1285 |
. 2
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11 | 6, 10 | wi 4 |
1
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Colors of variables: wff set class |
This axiom is referenced by: mulcom 7373 |
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