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Mirrors > Home > HSE Home > Th. List > ax-hfvmul | Structured version Visualization version GIF version |
Description: Scalar multiplication is an operation on ℂ and ℋ. (Contributed by NM, 16-Aug-1999.) (New usage is discouraged.) |
Ref | Expression |
---|---|
ax-hfvmul | ⊢ ·ℎ :(ℂ × ℋ)⟶ ℋ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cc 11090 | . . 3 class ℂ | |
2 | chba 30035 | . . 3 class ℋ | |
3 | 1, 2 | cxp 5667 | . 2 class (ℂ × ℋ) |
4 | csm 30037 | . 2 class ·ℎ | |
5 | 3, 2, 4 | wf 6528 | 1 wff ·ℎ :(ℂ × ℋ)⟶ ℋ |
Colors of variables: wff setvar class |
This axiom is referenced by: hvmulex 30127 hvmulcl 30129 hilvc 30278 issh2 30325 hhssabloilem 30377 hhssnv 30380 hhsssh 30385 |
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