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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 7556. Proofs should normally use mulcom 7621 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 7498 |
. . . 4
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3 | 1, 2 | wcel 1448 |
. . 3
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4 | cB |
. . . 4
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5 | 4, 2 | wcel 1448 |
. . 3
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6 | 3, 5 | wa 103 |
. 2
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7 | cmul 7505 |
. . . 4
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8 | 1, 4, 7 | co 5706 |
. . 3
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9 | 4, 1, 7 | co 5706 |
. . 3
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10 | 8, 9 | wceq 1299 |
. 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 7621 |
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