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Expression of type Neg

from the theory of proveit.numbers.multiplication

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 b
from proveit.core_expr_types import a_1_to_i, c_1_to_j
from proveit.numbers import Mult, Neg
In [2]:
# build up the expression from sub-expressions
expr = Neg(Mult(a_1_to_i, Neg(b), c_1_to_j))
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} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot \left(-b\right)\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{j}\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: 10
operand: 2
1ExprTuple2
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple5, 6, 7
5ExprRangelambda_map: 8
start_index: 13
end_index: 9
6Operationoperator: 10
operand: 16
7ExprRangelambda_map: 12
start_index: 13
end_index: 14
8Lambdaparameter: 21
body: 15
9Variable
10Literal
11ExprTuple16
12Lambdaparameter: 21
body: 17
13Literal
14Variable
15IndexedVarvariable: 18
index: 21
16Variable
17IndexedVarvariable: 19
index: 21
18Variable
19Variable
20ExprTuple21
21Variable