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

# build up the expression from sub-expressions
expr = ExprTuple(Mult(_two_pow__t_minus_one, Exp(_two_pow_t, Neg(one))), Mult(_two_pow__t_minus_one, Exp(two, Neg(_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(2^{t - 1} \cdot (2^{t})^{-1}, 2^{t - 1} \cdot 2^{-t}\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	7, 6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 15 operands: 9
7	Operation	operator: 15 operands: 10
8	Operation	operator: 15 operands: 11
9	ExprTuple	12, 21
10	ExprTuple	20, 13
11	ExprTuple	20, 14
12	Operation	operator: 15 operands: 16
13	Operation	operator: 17 operands: 18
14	Operation	operator: 23 operand: 22
15	Literal
16	ExprTuple	20, 22
17	Literal
18	ExprTuple	22, 21
19	ExprTuple	22
20	Literal
21	Operation	operator: 23 operand: 25
22	Literal
23	Literal
24	ExprTuple	25
25	Literal