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Expression of type Neg

from the theory of proveit.numbers.division

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 x, y
from proveit.core_expr_types import w_1_to_m, z_1_to_n
from proveit.numbers import Mult, Neg, frac
In [2]:
# build up the expression from sub-expressions
expr = Neg(frac(x, Mult(w_1_to_m, y, z_1_to_n)))
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())
-\frac{x}{w_{1} \cdot  w_{2} \cdot  \ldots \cdot  w_{m} \cdot y\cdot z_{1} \cdot  z_{2} \cdot  \ldots \cdot  z_{n}}
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: 1
operand: 3
1Literal
2ExprTuple3
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 7
6Variable
7Operationoperator: 8
operands: 9
8Literal
9ExprTuple10, 11, 12
10ExprRangelambda_map: 13
start_index: 16
end_index: 14
11Variable
12ExprRangelambda_map: 15
start_index: 16
end_index: 17
13Lambdaparameter: 23
body: 18
14Variable
15Lambdaparameter: 23
body: 19
16Literal
17Variable
18IndexedVarvariable: 20
index: 23
19IndexedVarvariable: 21
index: 23
20Variable
21Variable
22ExprTuple23
23Variable