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Theorem neg_as_mult_one of type Forall

from the theory of proveit.numbers.negation

see dependencies

In [1]:
import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.numbers.negation import neg_as_mult_one
In [2]:
# check that the built expression is the same as the stored expression
assert neg_as_mult_one.expr == stored_expr
assert neg_as_mult_one.expr._style_id == stored_expr._style_id
print("Passed sanity check: neg_as_mult_one matches stored_expr")
Passed sanity check: neg_as_mult_one matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{x \in \mathbb{C}}~\left(\left(-x\right) = \left(\left(-1\right) \cdot x\right)\right)
In [4]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
with_wrappingIf 'True', wrap the Expression after the parametersNoneNone/False('with_wrapping',)
condition_wrappingWrap 'before' or 'after' the condition (or None).NoneNone/False('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_paramsIf 'True', wraps every two parameters AND wraps the Expression after the parametersNoneNone/False('with_params',)
justificationjustify to the 'left', 'center', or 'right' in the array cellscentercenter('with_justification',)
In [5]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Lambdaparameter: 18
body: 4
4Conditionalvalue: 5
condition: 6
5Operationoperator: 7
operands: 8
6Operationoperator: 9
operands: 10
7Literal
8ExprTuple11, 12
9Literal
10ExprTuple18, 13
11Operationoperator: 19
operand: 18
12Operationoperator: 15
operands: 16
13Literal
14ExprTuple18
15Literal
16ExprTuple17, 18
17Operationoperator: 19
operand: 21
18Variable
19Literal
20ExprTuple21
21Literal