Expression of type Equals

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, c
from proveit.logic import Equals
from proveit.numbers import Add, Neg, five, one, seven, six, subtract

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = IndexedVar(a, sub_expr1)
sub_expr3 = Neg(c)
expr = Equals(Add(Add(ExprRange(sub_expr1, sub_expr2, one, five), b), subtract(sub_expr3, Add(ExprRange(sub_expr1, sub_expr2, one, seven)))), Add(b, sub_expr3, Neg(IndexedVar(a, six)), Neg(IndexedVar(a, seven))))

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(\left(a_{1} +  a_{2} +  \ldots +  a_{5} + b\right) + \left(-c - \left(a_{1} +  a_{2} +  \ldots +  a_{7}\right)\right)\right) = \left(b - c - a_{6} - a_{7}\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	Operation	operator: 30 operands: 5
4	Operation	operator: 30 operands: 6
5	ExprTuple	7, 8
6	ExprTuple	16, 17, 9, 10
7	Operation	operator: 30 operands: 11
8	Operation	operator: 30 operands: 12
9	Operation	operator: 23 operand: 19
10	Operation	operator: 23 operand: 20
11	ExprTuple	15, 16
12	ExprTuple	17, 18
13	ExprTuple	19
14	ExprTuple	20
15	ExprRange	lambda_map: 33 start_index: 34 end_index: 21
16	Variable
17	Operation	operator: 23 operand: 27
18	Operation	operator: 23 operand: 28
19	IndexedVar	variable: 37 index: 29
20	IndexedVar	variable: 37 index: 35
21	Literal
22	ExprTuple	27
23	Literal
24	ExprTuple	28
25	ExprTuple	29
26	ExprTuple	35
27	Variable
28	Operation	operator: 30 operands: 31
29	Literal
30	Literal
31	ExprTuple	32
32	ExprRange	lambda_map: 33 start_index: 34 end_index: 35
33	Lambda	parameter: 39 body: 36
34	Literal
35	Literal
36	IndexedVar	variable: 37 index: 39
37	Variable
38	ExprTuple	39
39	Variable