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, Neg, one
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(_s, sub_expr1, one)
expr = ExprTuple(Add(sub_expr2, sub_expr3, sub_expr2, Add(Add(_t, _s), Neg(Add(_t, one)), one), sub_expr2, sub_expr3, sub_expr2, sub_expr3), Add(_t, _s, _t, _s, _t, _s, _t, _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(s - 1 + 1\right) + \left(t - 1 + 1\right) + \left(s - 1 + 1\right), t + s + t + s + t + s + t + s\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: 20 operands: 3
2	Operation	operator: 20 operands: 4
3	ExprTuple	6, 7, 6, 5, 6, 7, 6, 7
4	ExprTuple	22, 18, 22, 18, 22, 18, 22, 18
5	Operation	operator: 20 operands: 8
6	Operation	operator: 20 operands: 9
7	Operation	operator: 20 operands: 10
8	ExprTuple	11, 12, 23
9	ExprTuple	22, 13, 23
10	ExprTuple	18, 13, 23
11	Operation	operator: 20 operands: 14
12	Operation	operator: 16 operand: 19
13	Operation	operator: 16 operand: 23
14	ExprTuple	22, 18
15	ExprTuple	19
16	Literal
17	ExprTuple	23
18	Literal
19	Operation	operator: 20 operands: 21
20	Literal
21	ExprTuple	22, 23
22	Literal
23	Literal