Expression of type ExprTuple

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 ExprRange, ExprTuple, Function, IndexedVar, Q, Variable, alpha, beta, c, delta, f, gamma, j
from proveit.linear_algebra import ScalarMult, VecSum
from proveit.numbers import Mult, one
from proveit.physics.quantum import Qmult, bra_varphi, ket_psi

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Mult(alpha, beta, gamma, delta)
sub_expr3 = [ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, j)]
sub_expr4 = VecSum(index_or_indices = sub_expr3, summand = Function(f, sub_expr3), condition = Function(Q, sub_expr3))
expr = ExprTuple(Qmult(sub_expr2, bra_varphi, sub_expr4, ket_psi, bra_varphi), ScalarMult(sub_expr2, Qmult(bra_varphi, sub_expr4, ket_psi, bra_varphi)))

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(\left(\alpha \cdot \beta \cdot \gamma \cdot \delta\right) \thinspace \langle \varphi \rvert \thinspace \left[\sum_{c_{1}, c_{2}, \ldots, c_{j}~|~Q\left(c_{1}, c_{2}, \ldots, c_{j}\right)}~f\left(c_{1}, c_{2}, \ldots, c_{j}\right)\right] \thinspace \lvert \psi \rangle \thinspace \langle \varphi \rvert, \left(\alpha \cdot \beta \cdot \gamma \cdot \delta\right) \cdot \left(\langle \varphi \rvert \thinspace \left[\sum_{c_{1}, c_{2}, \ldots, c_{j}~|~Q\left(c_{1}, c_{2}, \ldots, c_{j}\right)}~f\left(c_{1}, c_{2}, \ldots, c_{j}\right)\right] \thinspace \lvert \psi \rangle \thinspace \langle \varphi \rvert\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 10 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 18, 16, 17, 18
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operands: 9
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	12, 13, 14, 15
10	Literal
11	ExprTuple	18, 16, 17, 18
12	Variable
13	Variable
14	Variable
15	Variable
16	Operation	operator: 19 operand: 25
17	Operation	operator: 21 operand: 26
18	Operation	operator: 23 operand: 27
19	Literal
20	ExprTuple	25
21	Literal
22	ExprTuple	26
23	Literal
24	ExprTuple	27
25	Lambda	parameters: 33 body: 28
26	Variable
27	Variable
28	Conditional	value: 29 condition: 30
29	Operation	operator: 31 operands: 33
30	Operation	operator: 32 operands: 33
31	Variable
32	Variable
33	ExprTuple	34
34	ExprRange	lambda_map: 35 start_index: 36 end_index: 37
35	Lambda	parameter: 41 body: 38
36	Literal
37	Variable
38	IndexedVar	variable: 39 index: 41
39	Variable
40	ExprTuple	41
41	Variable