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, l
from proveit.numbers import Exp, Mult, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _diff_l_scaled_delta_floor, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Exp(subtract(Mult(_two_pow_t, _delta_b_floor), l), two), Exp(_diff_l_scaled_delta_floor, two))

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