Expression of type Equals

from the theory of proveit.core_expr_types.tuples

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, IndexedVar, Variable, a
from proveit.logic import Equals
from proveit.numbers import Neg, four, one, two, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Neg(four)
sub_expr3 = IndexedVar(a, Neg(sub_expr1))
expr = Equals([ExprRange(sub_expr1, sub_expr3, sub_expr2, zero).with_decreasing_order()], [ExprRange(sub_expr1, sub_expr3, sub_expr2, Neg(two)).with_decreasing_order(), ExprRange(sub_expr1, sub_expr3, Neg(one), zero).with_decreasing_order()]).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(a_{4}, a_{3}, \ldots, a_{0}\right) =  \\ \left(a_{4}, a_{3}, \ldots, a_{2},a_{1}, \ldots, a_{0}\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	ExprTuple	5
4	ExprTuple	6, 7
5	ExprRange	lambda_map: 10 start_index: 8 end_index: 12
6	ExprRange	lambda_map: 10 start_index: 8 end_index: 9
7	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
8	Operation	operator: 23 operand: 17
9	Operation	operator: 23 operand: 18
10	Lambda	parameter: 25 body: 15
11	Operation	operator: 23 operand: 21
12	Literal
13	ExprTuple	17
14	ExprTuple	18
15	IndexedVar	variable: 19 index: 22
16	ExprTuple	21
17	Literal
18	Literal
19	Variable
20	ExprTuple	22
21	Literal
22	Operation	operator: 23 operand: 25
23	Literal
24	ExprTuple	25
25	Variable