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, c, delta, f, j, m
from proveit.linear_algebra import LinMap, VecSum
from proveit.logic import CartExp
from proveit.numbers import Complex, one
from proveit.physics.quantum import Qmult, bra_varphi

# 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)]
expr = ExprTuple(Qmult(Qmult(delta, bra_varphi, alpha), VecSum(index_or_indices = sub_expr2, summand = Function(f, sub_expr2), condition = Function(Q, sub_expr2))), LinMap(CartExp(Complex, m), Complex))

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(\delta \thinspace \langle \varphi \rvert \thinspace \alpha\right) \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], \mathcal{L}\left(\mathbb{C}^{m}, \mathbb{C}\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: 9 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	8, 19
6	Operation	operator: 9 operands: 10
7	Operation	operator: 11 operand: 18
8	Operation	operator: 13 operands: 14
9	Literal
10	ExprTuple	15, 16, 17
11	Literal
12	ExprTuple	18
13	Literal
14	ExprTuple	19, 20
15	Variable
16	Operation	operator: 21 operand: 24
17	Variable
18	Lambda	parameters: 29 body: 23
19	Literal
20	Variable
21	Literal
22	ExprTuple	24
23	Conditional	value: 25 condition: 26
24	Variable
25	Operation	operator: 27 operands: 29
26	Operation	operator: 28 operands: 29
27	Variable
28	Variable
29	ExprTuple	30
30	ExprRange	lambda_map: 31 start_index: 32 end_index: 33
31	Lambda	parameter: 37 body: 34
32	Literal
33	Variable
34	IndexedVar	variable: 35 index: 37
35	Variable
36	ExprTuple	37
37	Variable