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, l
from proveit.numbers import Add, Exp, Mult, Neg, e, frac, i, pi, two
from proveit.physics.quantum.QPE import _b_floor, _delta_b_floor, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Exp(e, Mult(two, pi, i, Add(frac(_b_floor, _two_pow_t), _delta_b_floor, Neg(frac(Add(_b_floor, l), _two_pow_t))))), k)

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 \left(\frac{b_{\textit{f}}}{2^{t}} + \delta_{b_{\textit{f}}} - \frac{b_{\textit{f}} + l}{2^{t}}\right)}, k\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: 27 operands: 3
2	Variable
3	ExprTuple	4, 5
4	Literal
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	31, 8, 9, 10
8	Literal
9	Literal
10	Operation	operator: 25 operands: 11
11	ExprTuple	12, 13, 14
12	Operation	operator: 21 operands: 15
13	Operation	operator: 16 operand: 29
14	Operation	operator: 18 operand: 20
15	ExprTuple	29, 24
16	Literal
17	ExprTuple	29
18	Literal
19	ExprTuple	20
20	Operation	operator: 21 operands: 22
21	Literal
22	ExprTuple	23, 24
23	Operation	operator: 25 operands: 26
24	Operation	operator: 27 operands: 28
25	Literal
26	ExprTuple	29, 30
27	Literal
28	ExprTuple	31, 32
29	Literal
30	Variable
31	Literal
32	Literal