ax-hfi - Hilbert Space Explorer

	Hilbert Space Explorer		< Previous Next > Nearby theorems
Mirrors > Home > HSE Home > Th. List > ax-hfi		Structured version Visualization version GIF version

Axiom ax-hfi 30320

Description: Inner product maps pairs from ℋ to ℂ. (Contributed by NM, 17-Nov-2007.) (New usage is discouraged.)

**Assertion**
Ref	Expression
ax-hfi	⊢ ·_ih :( ℋ × ℋ)⟶ℂ

**Detailed syntax breakdown of Axiom ax-hfi**
Step	Hyp	Ref	Expression
1		chba 30160	. . 3 class ℋ
2	1, 1	cxp 5674	. 2 class ( ℋ × ℋ)
3		cc 11105	. 2 class ℂ
4		csp 30163	. 2 class ·_ih
5	2, 3, 4	wf 6537	1 wff ·_ih :( ℋ × ℋ)⟶ℂ

Colors of variables: wff setvar class

This axiom is referenced by: hicl 30321 dfhnorm2 30363 hhip 30418