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 Add, Exp, Mult, Neg, four, frac, one, subtract, two
from proveit.physics.quantum.QPE import _t, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
expr = ExprTuple(Add(Add(Mult(sub_expr1, sub_expr1), frac(one, four)), subtract(Neg(sub_expr1), Mult(sub_expr1, frac(one, _two_pow_t)))), Neg(frac(one, Exp(two, Add(one, _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(\left(\left(\frac{1}{2} \cdot \frac{1}{2}\right) + \frac{1}{4}\right) + \left(-\frac{1}{2} - \left(\frac{1}{2} \cdot \frac{1}{2^{t}}\right)\right), -\frac{1}{2^{1 + 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: 27 operands: 3
2	Operation	operator: 19 operand: 7
3	ExprTuple	5, 6
4	ExprTuple	7
5	Operation	operator: 27 operands: 8
6	Operation	operator: 27 operands: 9
7	Operation	operator: 32 operands: 10
8	ExprTuple	11, 12
9	ExprTuple	13, 14
10	ExprTuple	34, 15
11	Operation	operator: 25 operands: 16
12	Operation	operator: 32 operands: 17
13	Operation	operator: 19 operand: 29
14	Operation	operator: 19 operand: 23
15	Operation	operator: 36 operands: 21
16	ExprTuple	29, 29
17	ExprTuple	34, 22
18	ExprTuple	29
19	Literal
20	ExprTuple	23
21	ExprTuple	38, 24
22	Literal
23	Operation	operator: 25 operands: 26
24	Operation	operator: 27 operands: 28
25	Literal
26	ExprTuple	29, 30
27	Literal
28	ExprTuple	34, 39
29	Operation	operator: 32 operands: 31
30	Operation	operator: 32 operands: 33
31	ExprTuple	34, 38
32	Literal
33	ExprTuple	34, 35
34	Literal
35	Operation	operator: 36 operands: 37
36	Literal
37	ExprTuple	38, 39
38	Literal
39	Literal