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, Exp, Mult, Neg, four, frac, one, subtract, two
from proveit.physics.quantum.QPE import _eps, _n, _t

# build up the expression from sub-expressions
expr = ExprTuple(one, Neg(frac(one, Mult(two, Add(one, frac(one, Mult(two, _eps)))))), Neg(frac(one, Mult(four, Exp(subtract(Exp(two, subtract(_t, _n)), one), two)))))

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(1, -\frac{1}{2 \cdot \left(1 + \frac{1}{2 \cdot \epsilon}\right)}, -\frac{1}{4 \cdot \left(2^{t - n} - 1\right)^{2}}\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	34, 1, 2
1	Operation	operator: 39 operand: 5
2	Operation	operator: 39 operand: 6
3	ExprTuple	5
4	ExprTuple	6
5	Operation	operator: 20 operands: 7
6	Operation	operator: 20 operands: 8
7	ExprTuple	34, 9
8	ExprTuple	34, 10
9	Operation	operator: 26 operands: 11
10	Operation	operator: 26 operands: 12
11	ExprTuple	32, 13
12	ExprTuple	14, 15
13	Operation	operator: 35 operands: 16
14	Literal
15	Operation	operator: 28 operands: 17
16	ExprTuple	34, 18
17	ExprTuple	19, 32
18	Operation	operator: 20 operands: 21
19	Operation	operator: 35 operands: 22
20	Literal
21	ExprTuple	34, 23
22	ExprTuple	24, 25
23	Operation	operator: 26 operands: 27
24	Operation	operator: 28 operands: 29
25	Operation	operator: 39 operand: 34
26	Literal
27	ExprTuple	32, 31
28	Literal
29	ExprTuple	32, 33
30	ExprTuple	34
31	Literal
32	Literal
33	Operation	operator: 35 operands: 36
34	Literal
35	Literal
36	ExprTuple	37, 38
37	Literal
38	Operation	operator: 39 operand: 41
39	Literal
40	ExprTuple	41
41	Literal