Common merge_back_equiv of type Equals

from the theory of proveit.core_expr_types

import proveit
# Automation is not needed when only 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 the special expression
from proveit.core_expr_types import merge_back_equiv

# check that the built expression is the same as the stored expression
assert merge_back_equiv == stored_expr
assert merge_back_equiv._style_id == stored_expr._style_id
print("Passed sanity check: merge_back_equiv matches stored_expr")

Passed sanity check: merge_back_equiv 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(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j\right), f\left(k\right)\right) =  \\ \left(f\left(i\right), f\left(i + 1\right), \ldots, f\left(k\right)\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, 6
4	ExprTuple	7
5	ExprRange	lambda_map: 10 start_index: 11 end_index: 8
6	Operation	operator: 14 operand: 12
7	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
8	Variable
9	ExprTuple	12
10	Lambda	parameter: 16 body: 13
11	Variable
12	Variable
13	Operation	operator: 14 operand: 16
14	Variable
15	ExprTuple	16
16	Variable