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, beta, c, delta, f, gamma, j
from proveit.core_expr_types import Len
from proveit.linear_algebra import VecSum
from proveit.numbers import one, six
from proveit.physics.quantum import 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)]
expr = ExprTuple(Len(operands = [beta, gamma, delta, bra_varphi, VecSum(index_or_indices = sub_expr2, summand = Function(f, sub_expr2), condition = Function(Q, sub_expr2)), ket_psi]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, six)]))

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(\beta, \gamma, \delta, \langle \varphi \rvert, \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), \lvert \psi \rangle\right)|, |\left(1, 2, \ldots, 6\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7, 8, 9, 10, 11
4	Literal
5	ExprTuple	12
6	Variable
7	Variable
8	Variable
9	Operation	operator: 13 operand: 21
10	Operation	operator: 15 operand: 22
11	Operation	operator: 17 operand: 23
12	ExprRange	lambda_map: 19 start_index: 32 end_index: 20
13	Literal
14	ExprTuple	21
15	Literal
16	ExprTuple	22
17	Literal
18	ExprTuple	23
19	Lambda	parameter: 37 body: 37
20	Literal
21	Variable
22	Lambda	parameters: 29 body: 24
23	Variable
24	Conditional	value: 25 condition: 26
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