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, Mult, Neg, one, three
from proveit.physics.quantum.QPE import _s, _t

# build up the expression from sub-expressions
sub_expr1 = Neg(one)
sub_expr2 = Add(_t, sub_expr1, one)
sub_expr3 = Add(Add(_t, _s), Neg(Add(_t, one)), one)
expr = ExprTuple(Add(sub_expr2, Add(_s, sub_expr1, one), sub_expr2, sub_expr3, sub_expr2, sub_expr3), Add(Mult(three, _t), Mult(three, _s)))

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(t - 1 + 1\right) + \left(s - 1 + 1\right) + \left(t - 1 + 1\right) + \left(\left(t + s\right) - \left(t + 1\right) + 1\right) + \left(t - 1 + 1\right) + \left(\left(t + s\right) - \left(t + 1\right) + 1\right), \left(3 \cdot t\right) + \left(3 \cdot s\right)\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: 26 operands: 3
2	Operation	operator: 26 operands: 4
3	ExprTuple	6, 5, 6, 7, 6, 7
4	ExprTuple	8, 9
5	Operation	operator: 26 operands: 10
6	Operation	operator: 26 operands: 11
7	Operation	operator: 26 operands: 12
8	Operation	operator: 14 operands: 13
9	Operation	operator: 14 operands: 15
10	ExprTuple	24, 16, 29
11	ExprTuple	28, 16, 29
12	ExprTuple	17, 18, 29
13	ExprTuple	19, 28
14	Literal
15	ExprTuple	19, 24
16	Operation	operator: 22 operand: 29
17	Operation	operator: 26 operands: 21
18	Operation	operator: 22 operand: 25
19	Literal
20	ExprTuple	29
21	ExprTuple	28, 24
22	Literal
23	ExprTuple	25
24	Literal
25	Operation	operator: 26 operands: 27
26	Literal
27	ExprTuple	28, 29
28	Literal
29	Literal