Expression of type Add

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.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(Add(_t, _s), Neg(Add(_t, one)), one)
expr = Add(sub_expr2, Add(_s, sub_expr1, one), sub_expr2, sub_expr3, sub_expr2, sub_expr3)

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(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)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

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