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, t
from proveit.numbers import Exp, Mult, Neg, frac, one, sqrt, two

# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
sub_expr2 = Mult(sub_expr1, t)
expr = ExprTuple(Mult(one, Exp(Mult(sqrt(two), Exp(two, sub_expr2)), Neg(one))), Mult(one, Mult(Exp(two, Neg(sub_expr1)), Exp(two, Neg(sub_expr2)))))

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(1 \cdot \left(\sqrt{2} \cdot 2^{\frac{1}{2} \cdot t}\right)^{-1}, 1 \cdot \left(2^{-\frac{1}{2}} \cdot 2^{-\left(\frac{1}{2} \cdot t\right)}\right)\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: 28 operands: 3
2	Operation	operator: 28 operands: 4
3	ExprTuple	34, 5
4	ExprTuple	34, 6
5	Operation	operator: 22 operands: 7
6	Operation	operator: 28 operands: 8
7	ExprTuple	9, 10
8	ExprTuple	11, 12
9	Operation	operator: 28 operands: 13
10	Operation	operator: 25 operand: 34
11	Operation	operator: 22 operands: 15
12	Operation	operator: 22 operands: 16
13	ExprTuple	17, 18
14	ExprTuple	34
15	ExprTuple	35, 19
16	ExprTuple	35, 20
17	Operation	operator: 22 operands: 21
18	Operation	operator: 22 operands: 23
19	Operation	operator: 25 operand: 30
20	Operation	operator: 25 operand: 27
21	ExprTuple	35, 30
22	Literal
23	ExprTuple	35, 27
24	ExprTuple	30
25	Literal
26	ExprTuple	27
27	Operation	operator: 28 operands: 29
28	Literal
29	ExprTuple	30, 31
30	Operation	operator: 32 operands: 33
31	Variable
32	Literal
33	ExprTuple	34, 35
34	Literal
35	Literal