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 ExprRange, Variable, t
from proveit.logic import Equals
from proveit.numbers import Add, Neg, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Equals([ExprRange(sub_expr1, Add(Add(sub_expr1, Add(Neg(t), one)), Neg(one), t), one, t)], [ExprRange(sub_expr1, sub_expr1, one, t)])

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(\left(1 + \left(-t + 1\right)\right) - 1 + t\right), \left(\left(2 + \left(-t + 1\right)\right) - 1 + t\right), \ldots, \left(\left(t + \left(-t + 1\right)\right) - 1 + t\right)\right) = \left(1, 2, \ldots, t\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',)
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	ExprTuple	5
4	ExprTuple	6
5	ExprRange	lambda_map: 7 start_index: 21 end_index: 24
6	ExprRange	lambda_map: 8 start_index: 21 end_index: 24
7	Lambda	parameter: 16 body: 9
8	Lambda	parameter: 16 body: 16
9	Operation	operator: 18 operands: 11
10	ExprTuple	16
11	ExprTuple	12, 13, 24
12	Operation	operator: 18 operands: 14
13	Operation	operator: 22 operand: 21
14	ExprTuple	16, 17
15	ExprTuple	21
16	Variable
17	Operation	operator: 18 operands: 19
18	Literal
19	ExprTuple	20, 21
20	Operation	operator: 22 operand: 24
21	Literal
22	Literal
23	ExprTuple	24
24	Variable