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, n, x, y
from proveit.core_expr_types import x_1_to_n
from proveit.logic import Equals
from proveit.numbers import Add, one, subtract, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Equals([x_1_to_n, y], [ExprRange(sub_expr1, IndexedVar(x, Add(sub_expr1, one)), zero, subtract(n, one)), y])

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(x_{1}, x_{2}, \ldots, x_{n}, y\right) = \left(x_{0 + 1}, x_{1 + 1}, \ldots, x_{\left(n - 1\right) + 1}, y\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, 7
4	ExprTuple	6, 7
5	ExprRange	lambda_map: 8 start_index: 26 end_index: 18
6	ExprRange	lambda_map: 9 start_index: 10 end_index: 11
7	Variable
8	Lambda	parameter: 25 body: 12
9	Lambda	parameter: 25 body: 13
10	Literal
11	Operation	operator: 23 operands: 14
12	IndexedVar	variable: 16 index: 25
13	IndexedVar	variable: 16 index: 20
14	ExprTuple	18, 19
15	ExprTuple	25
16	Variable
17	ExprTuple	20
18	Variable
19	Operation	operator: 21 operand: 26
20	Operation	operator: 23 operands: 24
21	Literal
22	ExprTuple	26
23	Literal
24	ExprTuple	25, 26
25	Variable
26	Literal