Expression of type ExprTuple

from the theory of proveit.numbers.division

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

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y], Conditional(Equals(frac(Neg(x), Neg(y)), frac(x, y)), And(InSet(x, Complex), InSet(y, Complex), NotEquals(y, zero)))))

expr:

# 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

# 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} = \frac{x}{y} \textrm{ if } x \in \mathbb{C} ,  y \in \mathbb{C} ,  y \neq 0\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 16 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12, 13
9	Operation	operator: 15 operands: 14
10	Operation	operator: 15 operands: 16
11	Operation	operator: 18 operands: 17
12	Operation	operator: 18 operands: 19
13	Operation	operator: 20 operands: 21
14	ExprTuple	22, 23
15	Literal
16	ExprTuple	29, 30
17	ExprTuple	29, 24
18	Literal
19	ExprTuple	30, 24
20	Literal
21	ExprTuple	30, 25
22	Operation	operator: 27 operand: 29
23	Operation	operator: 27 operand: 30
24	Literal
25	Literal
26	ExprTuple	29
27	Literal
28	ExprTuple	30
29	Variable
30	Variable