Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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 ExprTuple, k, t
from proveit.linear_algebra import TensorProd
from proveit.numbers import Exp, Mult, e, i, pi, two
from proveit.physics.quantum import NumKet, ket1
from proveit.physics.quantum.QPE import _phase, two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Mult(Exp(e, Mult(two, pi, i, _phase, two_pow_t)), Exp(e, Mult(two, pi, i, _phase, k))), TensorProd(ket1, NumKet(k, 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(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \varphi \cdot 2^{t}} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \varphi \cdot k}, \lvert 1 \rangle {\otimes} \lvert k \rangle_{t}\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: 21 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	8, 9
6	Operation	operator: 28 operands: 10
7	Operation	operator: 28 operands: 11
8	Operation	operator: 12 operand: 19
9	Operation	operator: 14 operands: 15
10	ExprTuple	17, 16
11	ExprTuple	17, 18
12	Literal
13	ExprTuple	19
14	Literal
15	ExprTuple	27, 31
16	Operation	operator: 21 operands: 20
17	Literal
18	Operation	operator: 21 operands: 22
19	Literal
20	ExprTuple	30, 24, 25, 26, 23
21	Literal
22	ExprTuple	30, 24, 25, 26, 27
23	Operation	operator: 28 operands: 29
24	Literal
25	Literal
26	Literal
27	Variable
28	Literal
29	ExprTuple	30, 31
30	Literal
31	Variable