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 VecSum
from proveit.numbers import 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 = [ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, j)]
sub_expr3 = Function(f, sub_expr2)
sub_expr4 = Function(Q, sub_expr2)
expr = ExprTuple(Qmult(bra_varphi, alpha, VecSum(index_or_indices = sub_expr2, summand = sub_expr3, condition = sub_expr4), beta, ket_psi, gamma, bra_varphi, delta), VecSum(index_or_indices = sub_expr2, summand = Qmult(bra_varphi, alpha, sub_expr3, beta, ket_psi, gamma, bra_varphi, delta), condition = sub_expr4))

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 \varphi \rvert \thinspace \alpha \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 \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta, \sum_{c_{1}, c_{2}, \ldots, c_{j}~|~Q\left(c_{1}, c_{2}, \ldots, c_{j}\right)}~\left(\langle \varphi \rvert \thinspace \alpha \thinspace f\left(c_{1}, c_{2}, \ldots, c_{j}\right) \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta\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: 13 operands: 3
2	Operation	operator: 7 operand: 6
3	ExprTuple	21, 16, 5, 18, 19, 20, 21, 22
4	ExprTuple	6
5	Operation	operator: 7 operand: 10
6	Lambda	parameters: 25 body: 9
7	Literal
8	ExprTuple	10
9	Conditional	value: 11 condition: 15
10	Lambda	parameters: 25 body: 12
11	Operation	operator: 13 operands: 14
12	Conditional	value: 17 condition: 15
13	Literal
14	ExprTuple	21, 16, 17, 18, 19, 20, 21, 22
15	Operation	operator: 23 operands: 25
16	Variable
17	Operation	operator: 24 operands: 25
18	Variable
19	Operation	operator: 26 operand: 31
20	Variable
21	Operation	operator: 28 operand: 32
22	Variable
23	Variable
24	Variable
25	ExprTuple	30
26	Literal
27	ExprTuple	31
28	Literal
29	ExprTuple	32
30	ExprRange	lambda_map: 33 start_index: 34 end_index: 35
31	Variable
32	Variable
33	Lambda	parameter: 39 body: 36
34	Literal
35	Variable
36	IndexedVar	variable: 37 index: 39
37	Variable
38	ExprTuple	39
39	Variable