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.linear_algebra import ScalarMult
from proveit.numbers import Add, Exp, Mult, frac, one, subtract, two

# build up the expression from sub-expressions
sub_expr1 = frac(t, two)
sub_expr2 = frac(one, Exp(two, sub_expr1))
sub_expr3 = frac(one, Exp(two, subtract(frac(Add(t, one), two), sub_expr1)))
expr = ExprTuple(ScalarMult(sub_expr3, sub_expr2), Mult(sub_expr3, 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}}}, \frac{1}{2^{\frac{t + 1}{2} - \frac{t}{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: 3 operands: 5
2	Operation	operator: 4 operands: 5
3	Literal
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 26 operands: 8
7	Operation	operator: 26 operands: 9
8	ExprTuple	28, 10
9	ExprTuple	28, 11
10	Operation	operator: 13 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	30, 15
13	Literal
14	ExprTuple	30, 23
15	Operation	operator: 24 operands: 16
16	ExprTuple	17, 18
17	Operation	operator: 26 operands: 19
18	Operation	operator: 20 operand: 23
19	ExprTuple	22, 30
20	Literal
21	ExprTuple	23
22	Operation	operator: 24 operands: 25
23	Operation	operator: 26 operands: 27
24	Literal
25	ExprTuple	29, 28
26	Literal
27	ExprTuple	29, 30
28	Literal
29	Variable
30	Literal