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 Abs, Exp, Mult, Neg, one, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t

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

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