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 Add, Exp, Mult, Neg, one, pi, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t

# build up the expression from sub-expressions
sub_expr1 = Add(Neg(Mult(l, Exp(two, Neg(_t)))), _delta_b_floor)
expr = ExprTuple(Mult(pi, Exp(pi, Neg(one)), sub_expr1), Mult(one, sub_expr1))

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(\pi \cdot \pi^{-1} \cdot \left(-\left(l \cdot 2^{-t}\right) + \delta_{b_{\textit{f}}}\right), 1 \cdot \left(-\left(l \cdot 2^{-t}\right) + \delta_{b_{\textit{f}}}\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: 21 operands: 3
2	Operation	operator: 21 operands: 4
3	ExprTuple	10, 5, 6
4	ExprTuple	18, 6
5	Operation	operator: 25 operands: 7
6	Operation	operator: 8 operands: 9
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	12, 13
10	Literal
11	Operation	operator: 29 operand: 18
12	Operation	operator: 29 operand: 19
13	Operation	operator: 16 operand: 20
14	ExprTuple	18
15	ExprTuple	19
16	Literal
17	ExprTuple	20
18	Literal
19	Operation	operator: 21 operands: 22
20	Literal
21	Literal
22	ExprTuple	23, 24
23	Variable
24	Operation	operator: 25 operands: 26
25	Literal
26	ExprTuple	27, 28
27	Literal
28	Operation	operator: 29 operand: 31
29	Literal
30	ExprTuple	31
31	Literal