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, Literal
from proveit.numbers import Exp, Interval, Mult, one, subtract, two, zero

# build up the expression from sub-expressions
sub_expr1 = Exp(two, Literal("t", theory = "proveit.physics.quantum.QPE"))
expr = ExprTuple(Mult(sub_expr1, Literal("phase", latex_format = r"\varphi", theory = "proveit.physics.quantum.QPE")), Interval(zero, subtract(sub_expr1, 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())

\left(2^{t} \cdot \varphi, \{0~\ldotp \ldotp~2^{t} - 1\}\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: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	12, 7
5	Literal
6	ExprTuple	8, 9
7	Literal
8	Literal
9	Operation	operator: 10 operands: 11
10	Literal
11	ExprTuple	12, 13
12	Operation	operator: 14 operands: 15
13	Operation	operator: 16 operand: 20
14	Literal
15	ExprTuple	18, 19
16	Literal
17	ExprTuple	20
18	Literal
19	Literal
20	Literal