Expression of type Conditional

from the theory of proveit.physics.quantum.algebra

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import A, Conditional, j, n
from proveit.core_expr_types import v_i, w_j
from proveit.logic import InSet
from proveit.numbers import Interval, one
from proveit.physics.quantum import Bra, Ket, Qmult

# build up the expression from sub-expressions
expr = Conditional(Qmult(Bra(w_j), A, Ket(v_i), Ket(w_j), Bra(v_i)), InSet(j, Interval(one, n)))

expr:

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

Passed sanity check: expr matches stored_expr

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

\left\{\langle w_{j} \rvert \thinspace A \thinspace \lvert v_{i} \rangle \thinspace \lvert w_{j} \rangle \thinspace \langle v_{i} \rvert \textrm{ if } j \in \{1~\ldotp \ldotp~n\}\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7, 8, 9, 10, 11
5	Literal
6	ExprTuple	27, 12
7	Operation	operator: 15 operand: 19
8	Variable
9	Operation	operator: 13 operand: 20
10	Operation	operator: 13 operand: 19
11	Operation	operator: 15 operand: 20
12	Operation	operator: 17 operands: 18
13	Literal
14	ExprTuple	19
15	Literal
16	ExprTuple	20
17	Literal
18	ExprTuple	21, 22
19	IndexedVar	variable: 23 index: 27
20	IndexedVar	variable: 25 index: 28
21	Literal
22	Variable
23	Variable
24	ExprTuple	27
25	Variable
26	ExprTuple	28
27	Variable
28	Variable