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 Add, Exp, Mult, Neg, frac, one, subtract, two

# build up the expression from sub-expressions
sub_expr1 = frac(t, two)
sub_expr2 = frac(one, Exp(two, sub_expr1))
expr = ExprTuple(Mult(frac(one, Exp(two, subtract(frac(Add(t, one), two), sub_expr1))), sub_expr2), Mult(Exp(two, Neg(frac(one, two))), 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(\frac{1}{2^{\frac{t + 1}{2} - \frac{t}{2}}} \cdot \frac{1}{2^{\frac{t}{2}}}, 2^{-\frac{1}{2}} \cdot \frac{1}{2^{\frac{t}{2}}}\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	6, 8
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 32 operands: 9
7	Operation	operator: 17 operands: 10
8	Operation	operator: 32 operands: 11
9	ExprTuple	34, 12
10	ExprTuple	36, 13
11	ExprTuple	34, 14
12	Operation	operator: 17 operands: 15
13	Operation	operator: 26 operand: 20
14	Operation	operator: 17 operands: 18
15	ExprTuple	36, 19
16	ExprTuple	20
17	Literal
18	ExprTuple	36, 29
19	Operation	operator: 30 operands: 21
20	Operation	operator: 32 operands: 22
21	ExprTuple	23, 24
22	ExprTuple	34, 36
23	Operation	operator: 32 operands: 25
24	Operation	operator: 26 operand: 29
25	ExprTuple	28, 36
26	Literal
27	ExprTuple	29
28	Operation	operator: 30 operands: 31
29	Operation	operator: 32 operands: 33
30	Literal
31	ExprTuple	35, 34
32	Literal
33	ExprTuple	35, 36
34	Literal
35	Variable
36	Literal