Expression of type Interval

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 Literal, e
from proveit.numbers import Add, Exp, Interval, Neg, one, subtract, two

# build up the expression from sub-expressions
expr = Interval(Add(Neg(Exp(two, subtract(Literal("t", theory = "proveit.physics.quantum.QPE"), one))), one), Neg(Add(e, 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())

\{-2^{t - 1} + 1~\ldotp \ldotp~-\left(e + 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',)

# display the expression information
stored_expr.expr_info()

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