Expression of type Add

from the theory of proveit.numbers.addition

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, b, d, n
from proveit.numbers import Add, frac, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Add(frac(a, d), frac(b, d), ExprRange(sub_expr1, frac(IndexedVar(a, sub_expr1), d), one, n))

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())

\frac{a}{d} + \frac{b}{d}+ \frac{a_{1}}{d} +  \frac{a_{2}}{d} +  \ldots +  \frac{a_{n}}{d}

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',)

# 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, 5
3	Operation	operator: 13 operands: 6
4	Operation	operator: 13 operands: 7
5	ExprRange	lambda_map: 8 start_index: 9 end_index: 10
6	ExprTuple	17, 16
7	ExprTuple	11, 16
8	Lambda	parameter: 19 body: 12
9	Literal
10	Variable
11	Variable
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16
15	IndexedVar	variable: 17 index: 19
16	Variable
17	Variable
18	ExprTuple	19
19	Variable