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
from proveit.numbers import Add, Ceil, Exp, Log, Mult, Neg, frac, one, two
from proveit.physics.quantum.QPE import _eps, _n

# build up the expression from sub-expressions
expr = ExprTuple(_n, Ceil(Log(two, Add(two, Mult(frac(one, two), Exp(_eps, 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(n, \left\lceil \textrm{log}_2\left(2 + \left(\frac{1}{2} \cdot \epsilon^{-1}\right)\right)\right\rceil\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	Literal
2	Operation	operator: 3 operand: 5
3	Literal
4	ExprTuple	5
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	20, 8
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	20, 11
11	Operation	operator: 12 operands: 13
12	Literal
13	ExprTuple	14, 15
14	Operation	operator: 16 operands: 17
15	Operation	operator: 18 operands: 19
16	Literal
17	ExprTuple	25, 20
18	Literal
19	ExprTuple	21, 22
20	Literal
21	Literal
22	Operation	operator: 23 operand: 25
23	Literal
24	ExprTuple	25
25	Literal