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, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t

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

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(-1\right) \cdot l \cdot 2^{\left(-1\right) \cdot t}\right) + \delta_{b_{\textit{f}}}, -\left(l \cdot 2^{-t}\right) + \delta_{b_{\textit{f}}}\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 8
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 21 operands: 9
7	Operation	operator: 29 operand: 14
8	Operation	operator: 11 operand: 15
9	ExprTuple	25, 19, 13
10	ExprTuple	14
11	Literal
12	ExprTuple	15
13	Operation	operator: 23 operands: 16
14	Operation	operator: 21 operands: 17
15	Literal
16	ExprTuple	26, 18
17	ExprTuple	19, 20
18	Operation	operator: 21 operands: 22
19	Variable
20	Operation	operator: 23 operands: 24
21	Literal
22	ExprTuple	25, 32
23	Literal
24	ExprTuple	26, 27
25	Operation	operator: 29 operand: 31
26	Literal
27	Operation	operator: 29 operand: 32
28	ExprTuple	31
29	Literal
30	ExprTuple	32
31	Literal
32	Literal