Expression of type Add

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 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 = Mult(frac(one, Exp(two, one)), _two_pow_t)
expr = Add(sub_expr1, Neg(two), Add(Neg(sub_expr1), one, Neg(e)))

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(\frac{1}{2^{1}} \cdot 2^{t}\right) - 2 + \left(-\left(\frac{1}{2^{1}} \cdot 2^{t}\right) + 1 - e\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 5 operands: 1
1	ExprTuple	12, 2, 3
2	Operation	operator: 10 operand: 25
3	Operation	operator: 5 operands: 6
4	ExprTuple	25
5	Literal
6	ExprTuple	7, 26, 8
7	Operation	operator: 10 operand: 12
8	Operation	operator: 10 operand: 13
9	ExprTuple	12
10	Literal
11	ExprTuple	13
12	Operation	operator: 14 operands: 15
13	Variable
14	Literal
15	ExprTuple	16, 17
16	Operation	operator: 18 operands: 19
17	Operation	operator: 23 operands: 20
18	Literal
19	ExprTuple	26, 21
20	ExprTuple	25, 22
21	Operation	operator: 23 operands: 24
22	Literal
23	Literal
24	ExprTuple	25, 26
25	Literal
26	Literal