Theorem qmult_ket_bra_is_op 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_ket_bra_is_op

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

Passed sanity check: qmult_ket_bra_is_op matches stored_expr

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

\forall_{\mathcal{H}, X}~\left[\forall_{\lvert \psi \rangle \in \mathcal{H}}~\left[\forall_{\varphi~|~\lvert \varphi \rangle \in X}~\left(\left(\lvert \psi \rangle \thinspace \langle \varphi \rvert\right) \in \mathcal{L}\left(X, \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: 11 operand: 2
1	ExprTuple	2
2	Lambda	parameters: 3 body: 4
3	ExprTuple	32, 31
4	Operation	operator: 11 operand: 6
5	ExprTuple	6
6	Lambda	parameter: 29 body: 8
7	ExprTuple	29
8	Conditional	value: 9 condition: 10
9	Operation	operator: 11 operand: 14
10	Operation	operator: 19 operands: 13
11	Literal
12	ExprTuple	14
13	ExprTuple	29, 32
14	Lambda	parameter: 35 body: 15
15	Conditional	value: 16 condition: 17
16	Operation	operator: 19 operands: 18
17	Operation	operator: 19 operands: 20
18	ExprTuple	21, 22
19	Literal
20	ExprTuple	23, 31
21	Operation	operator: 24 operands: 25
22	Operation	operator: 26 operands: 27
23	Operation	operator: 28 operand: 35
24	Literal
25	ExprTuple	29, 30
26	Literal
27	ExprTuple	31, 32
28	Literal
29	Variable
30	Operation	operator: 33 operand: 35
31	Variable
32	Variable
33	Literal
34	ExprTuple	35
35	Variable