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

# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
expr = Add(Mult(sub_expr1, Exp(two, Neg(_t))), subtract(Neg(sub_expr1), Mult(sub_expr1, frac(one, _two_pow_t))))

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} \cdot 2^{-t}\right) + \left(-\frac{1}{2} - \left(\frac{1}{2} \cdot \frac{1}{2^{t}}\right)\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	2, 3
2	Operation	operator: 17 operands: 4
3	Operation	operator: 5 operands: 6
4	ExprTuple	19, 7
5	Literal
6	ExprTuple	8, 9
7	Operation	operator: 26 operands: 10
8	Operation	operator: 15 operand: 19
9	Operation	operator: 15 operand: 14
10	ExprTuple	28, 13
11	ExprTuple	19
12	ExprTuple	14
13	Operation	operator: 15 operand: 29
14	Operation	operator: 17 operands: 18
15	Literal
16	ExprTuple	29
17	Literal
18	ExprTuple	19, 20
19	Operation	operator: 22 operands: 21
20	Operation	operator: 22 operands: 23
21	ExprTuple	24, 28
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Operation	operator: 26 operands: 27
26	Literal
27	ExprTuple	28, 29
28	Literal
29	Literal