Expression of type Equals

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 t
from proveit.logic import Equals
from proveit.numbers import Add, Neg, one, subtract, two, zero

# build up the expression from sub-expressions
sub_expr1 = Add(one, Neg(one), one)
expr = Equals(Add(sub_expr1, Add(zero, Neg(Add(Neg(t), two)), one), sub_expr1), Add(one, subtract(t, one), one)).with_wrapping_at(2)

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())

\begin{array}{c} \begin{array}{l} \left(\left(1 - 1 + 1\right) + \left(0 - \left(-t + 2\right) + 1\right) + \left(1 - 1 + 1\right)\right) =  \\ \left(1 + \left(t - 1\right) + 1\right) \end{array} \end{array}

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.	()	(2)	('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',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

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