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, four, frac, one, subtract, two
from proveit.physics.quantum.QPE import _n, _t

# build up the expression from sub-expressions
expr = ExprTuple(frac(one, Mult(four, Exp(subtract(Exp(two, subtract(_t, _n)), one), two))))

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}{4 \cdot \left(2^{t - n} - 1\right)^{2}}\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	19, 4
4	Operation	operator: 5 operands: 6
5	Literal
6	ExprTuple	7, 8
7	Literal
8	Operation	operator: 14 operands: 9
9	ExprTuple	10, 17
10	Operation	operator: 20 operands: 11
11	ExprTuple	12, 13
12	Operation	operator: 14 operands: 15
13	Operation	operator: 24 operand: 19
14	Literal
15	ExprTuple	17, 18
16	ExprTuple	19
17	Literal
18	Operation	operator: 20 operands: 21
19	Literal
20	Literal
21	ExprTuple	22, 23
22	Literal
23	Operation	operator: 24 operand: 26
24	Literal
25	ExprTuple	26
26	Literal