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

# build up the expression from sub-expressions
expr = ExprTuple(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(1, 4 \cdot \left(2^{t - n} - 1\right)^{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	16, 1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5
4	Literal
5	Operation	operator: 11 operands: 6
6	ExprTuple	7, 14
7	Operation	operator: 17 operands: 8
8	ExprTuple	9, 10
9	Operation	operator: 11 operands: 12
10	Operation	operator: 21 operand: 16
11	Literal
12	ExprTuple	14, 15
13	ExprTuple	16
14	Literal
15	Operation	operator: 17 operands: 18
16	Literal
17	Literal
18	ExprTuple	19, 20
19	Literal
20	Operation	operator: 21 operand: 23
21	Literal
22	ExprTuple	23
23	Literal