Theorem qmult_of_bra_as_map of type Forall

from the theory of proveit.physics.quantum.algebra

see dependencies

import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.physics.quantum.algebra import qmult_of_bra_as_map

# check that the built expression is the same as the stored expression
assert qmult_of_bra_as_map.expr == stored_expr
assert qmult_of_bra_as_map.expr._style_id == stored_expr._style_id
print("Passed sanity check: qmult_of_bra_as_map matches stored_expr")

Passed sanity check: qmult_of_bra_as_map matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\forall_{\mathcal{H} \underset{{\scriptscriptstyle c}}{\in} \textrm{HilbertSpaces}}~\left[\forall_{\varphi~|~\lvert \varphi \rangle \in \mathcal{H}}~\left(\left[\langle \varphi \rvert\right] = \left[\lvert \psi \rangle \mapsto \left\{\left \langle \lvert \psi \rangle, \lvert \varphi \rangle\right \rangle \textrm{ if } \lvert \psi \rangle \in \mathcal{H}\right..\right]\right)\right]

stored_expr.style_options()

name	description	default	current value	related methods
with_wrapping	If 'True', wrap the Expression after the parameters	None	None/False	('with_wrapping',)
condition_wrapping	Wrap 'before' or 'after' the condition (or None).	None	None/False	('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_params	If 'True', wraps every two parameters AND wraps the Expression after the parameters	None	None/False	('with_params',)
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 7 operand: 2
1	ExprTuple	2
2	Lambda	parameter: 35 body: 4
3	ExprTuple	35
4	Conditional	value: 5 condition: 6
5	Operation	operator: 7 operand: 11
6	Operation	operator: 9 operands: 10
7	Literal
8	ExprTuple	11
9	Literal
10	ExprTuple	35, 12
11	Lambda	parameter: 38 body: 13
12	Literal
13	Conditional	value: 14 condition: 15
14	Operation	operator: 16 operands: 17
15	Operation	operator: 31 operands: 18
16	Literal
17	ExprTuple	19, 20
18	ExprTuple	33, 35
19	Operation	operator: 21 operand: 25
20	Lambda	parameter: 34 body: 24
21	Literal
22	ExprTuple	25
23	ExprTuple	34
24	Conditional	value: 26 condition: 27
25	Operation	operator: 28 operand: 38
26	Operation	operator: 29 operands: 30
27	Operation	operator: 31 operands: 32
28	Literal
29	Literal
30	ExprTuple	34, 33
31	Literal
32	ExprTuple	34, 35
33	Operation	operator: 36 operand: 38
34	Variable
35	Variable
36	Literal
37	ExprTuple	38
38	Variable