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, m, n
from proveit.numbers import Exp, ModAbs, Neg, frac, one, subtract, two
from proveit.physics.quantum.QPE import phase, two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(ModAbs(subtract(frac(m, two_pow_t), phase), one), Exp(two, Neg(n)))

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|\frac{m}{2^{t}} - \varphi\right|_{\textup{mod}\thinspace 1}, 2^{-n}\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: 3 operands: 4
2	Operation	operator: 22 operands: 5
3	Literal
4	ExprTuple	6, 7
5	ExprTuple	24, 8
6	Operation	operator: 9 operands: 10
7	Literal
8	Operation	operator: 17 operand: 14
9	Literal
10	ExprTuple	12, 13
11	ExprTuple	14
12	Operation	operator: 15 operands: 16
13	Operation	operator: 17 operand: 21
14	Variable
15	Literal
16	ExprTuple	19, 20
17	Literal
18	ExprTuple	21
19	Variable
20	Operation	operator: 22 operands: 23
21	Variable
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Variable