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, Exp, Mult, Neg, frac, one, zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y], Conditional(Equals(frac(x, y), Mult(x, Exp(y, Neg(one)))), 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} = \left(x \cdot y^{-1}\right) \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: 15 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: 14 operands: 15
10	Operation	operator: 16 operands: 17
11	Operation	operator: 19 operands: 18
12	Operation	operator: 19 operands: 20
13	Operation	operator: 21 operands: 22
14	Literal
15	ExprTuple	24, 29
16	Literal
17	ExprTuple	24, 23
18	ExprTuple	24, 25
19	Literal
20	ExprTuple	29, 25
21	Literal
22	ExprTuple	29, 26
23	Operation	operator: 27 operands: 28
24	Variable
25	Literal
26	Literal
27	Literal
28	ExprTuple	29, 30
29	Variable
30	Operation	operator: 31 operand: 33
31	Literal
32	ExprTuple	33
33	Literal