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Expression of type ExprTuple

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 Conditional, ExprTuple, Lambda, x, y
from proveit.logic import And, Equals, InSet, NotEquals
from proveit.numbers import Complex, Neg, frac, zero
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y], Conditional(Equals(frac(x, Neg(y)), Neg(frac(x, y))), And(InSet(x, Complex), InSet(y, Complex), NotEquals(y, zero)))))
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(\left(x, y\right) \mapsto \left\{\frac{x}{-y} = \left(-\frac{x}{y}\right) \textrm{ if } x \in \mathbb{C} ,  y \in \mathbb{C} ,  y \neq 0\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameters: 28
body: 2
2Conditionalvalue: 3
condition: 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Literal
6ExprTuple9, 10
7Literal
8ExprTuple11, 12, 13
9Operationoperator: 27
operands: 14
10Operationoperator: 25
operand: 22
11Operationoperator: 17
operands: 16
12Operationoperator: 17
operands: 18
13Operationoperator: 19
operands: 20
14ExprTuple29, 21
15ExprTuple22
16ExprTuple29, 23
17Literal
18ExprTuple30, 23
19Literal
20ExprTuple30, 24
21Operationoperator: 25
operand: 30
22Operationoperator: 27
operands: 28
23Literal
24Literal
25Literal
26ExprTuple30
27Literal
28ExprTuple29, 30
29Variable
30Variable