Expression of type ExprTuple

from the theory of proveit.physics.quantum.circuits

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, IndexedVar, U, Variable, m, t
from proveit.linear_algebra import Unitary
from proveit.logic import InSet
from proveit.numbers import Exp, one, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(U, sub_expr1), Unitary(Exp(two, m))), one, t))

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(U_{1} \in \textrm{U}\left(2^{m}\right)\right), \left(U_{2} \in \textrm{U}\left(2^{m}\right)\right), \ldots, \left(U_{t} \in \textrm{U}\left(2^{m}\right)\right)\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	ExprRange	lambda_map: 2 start_index: 3 end_index: 4
2	Lambda	parameter: 14 body: 5
3	Literal
4	Variable
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 9
8	IndexedVar	variable: 10 index: 14
9	Operation	operator: 12 operand: 15
10	Variable
11	ExprTuple	14
12	Literal
13	ExprTuple	15
14	Variable
15	Operation	operator: 16 operands: 17
16	Literal
17	ExprTuple	18, 19
18	Literal
19	Variable