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, e
from proveit.numbers import Add, Exp, Mult, Neg, frac, one, two
from proveit.physics.quantum.QPE import _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = Neg(two)
sub_expr2 = Neg(e)
sub_expr3 = Mult(frac(one, Exp(two, one)), _two_pow_t)
expr = ExprTuple(Add(sub_expr3, sub_expr1, Neg(sub_expr3), one, sub_expr2), Add(sub_expr1, one, sub_expr2))

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{1}{2^{1}} \cdot 2^{t}\right) - 2 - \left(\frac{1}{2^{1}} \cdot 2^{t}\right) + 1 - e, -2 + 1 - e\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	13, 7, 6, 27, 8
4	Literal
5	ExprTuple	7, 27, 8
6	Operation	operator: 11 operand: 13
7	Operation	operator: 11 operand: 26
8	Operation	operator: 11 operand: 14
9	ExprTuple	13
10	ExprTuple	26
11	Literal
12	ExprTuple	14
13	Operation	operator: 15 operands: 16
14	Variable
15	Literal
16	ExprTuple	17, 18
17	Operation	operator: 19 operands: 20
18	Operation	operator: 24 operands: 21
19	Literal
20	ExprTuple	27, 22
21	ExprTuple	26, 23
22	Operation	operator: 24 operands: 25
23	Literal
24	Literal
25	ExprTuple	26, 27
26	Literal
27	Literal