Expression of type Abs

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

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

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|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\right|

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operand: 11
7	Operation	operator: 21 operand: 12
8	Literal
9	ExprTuple	11
10	ExprTuple	12
11	Literal
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16
15	Variable
16	Operation	operator: 17 operands: 18
17	Literal
18	ExprTuple	19, 20
19	Literal
20	Operation	operator: 21 operand: 23
21	Literal
22	ExprTuple	23
23	Literal