Expression of type Div

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

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

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())

\frac{1}{2 \cdot \left(2^{t - n} - 1\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',)
division	'inline': uses '/'; 'fraction': numerator over the denominator (also see 'frac' function)	fraction	fraction	('with_inline_style', 'with_fraction_style')

# display the expression information
stored_expr.expr_info()

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