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

# build up the expression from sub-expressions
sub_expr1 = subtract(Exp(two, subtract(_t, _n)), one)
expr = ExprTuple(one, Neg(frac(one, Mult(two, sub_expr1))), Neg(frac(one, Mult(four, Exp(sub_expr1, 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(2^{t - n} - 1\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	27, 1, 2
1	Operation	operator: 32 operand: 5
2	Operation	operator: 32 operand: 6
3	ExprTuple	5
4	ExprTuple	6
5	Operation	operator: 8 operands: 7
6	Operation	operator: 8 operands: 9
7	ExprTuple	27, 10
8	Literal
9	ExprTuple	27, 11
10	Operation	operator: 13 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	25, 18
13	Literal
14	ExprTuple	15, 16
15	Literal
16	Operation	operator: 22 operands: 17
17	ExprTuple	18, 25
18	Operation	operator: 28 operands: 19
19	ExprTuple	20, 21
20	Operation	operator: 22 operands: 23
21	Operation	operator: 32 operand: 27
22	Literal
23	ExprTuple	25, 26
24	ExprTuple	27
25	Literal
26	Operation	operator: 28 operands: 29
27	Literal
28	Literal
29	ExprTuple	30, 31
30	Literal
31	Operation	operator: 32 operand: 34
32	Literal
33	ExprTuple	34
34	Literal