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Expression of type Neg

from the theory of proveit.numbers.addition

In [1]:
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, n
from proveit.numbers import Add, Neg, one, subtract, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Neg(Add(ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, subtract(n, two))))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
-\left(a_{1} +  a_{2} +  \ldots +  a_{n - 2}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
notation_in_addWhen contained in an Add, use 'subtraction' or 'explicit_negation': For example, 'a - b' versus 'a + (-b)'.subtractionsubtraction('with_subtraction_notation', 'without_subtraction_notation')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 16
operand: 2
1ExprTuple2
2Operationoperator: 9
operands: 3
3ExprTuple4
4ExprRangelambda_map: 5
start_index: 6
end_index: 7
5Lambdaparameter: 15
body: 8
6Literal
7Operationoperator: 9
operands: 10
8IndexedVarvariable: 11
index: 15
9Literal
10ExprTuple13, 14
11Variable
12ExprTuple15
13Variable
14Operationoperator: 16
operand: 18
15Variable
16Literal
17ExprTuple18
18Literal