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, Variable, j
from proveit.logic import Equals
from proveit.numbers import Add, Exp, e, four, three, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Equals([ExprRange(sub_expr1, Exp(e, Add(sub_expr1, j)), two, four)], [Exp(e, Add(two, j)), Exp(e, Add(three, j)), Exp(e, Add(four, j))])

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(\mathsf{e}^{2 + j}, \mathsf{e}^{3 + j}, \ldots, \mathsf{e}^{4 + j}\right) = \left(\mathsf{e}^{2 + j}, \mathsf{e}^{3 + j}, \mathsf{e}^{4 + j}\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, 7, 8
5	ExprRange	lambda_map: 9 start_index: 25 end_index: 27
6	Operation	operator: 18 operands: 10
7	Operation	operator: 18 operands: 11
8	Operation	operator: 18 operands: 12
9	Lambda	parameter: 30 body: 14
10	ExprTuple	23, 15
11	ExprTuple	23, 16
12	ExprTuple	23, 17
13	ExprTuple	30
14	Operation	operator: 18 operands: 19
15	Operation	operator: 28 operands: 20
16	Operation	operator: 28 operands: 21
17	Operation	operator: 28 operands: 22
18	Literal
19	ExprTuple	23, 24
20	ExprTuple	25, 31
21	ExprTuple	26, 31
22	ExprTuple	27, 31
23	Literal
24	Operation	operator: 28 operands: 29
25	Literal
26	Literal
27	Literal
28	Literal
29	ExprTuple	30, 31
30	Variable
31	Variable