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, z
from proveit.logic import And, Equals, InSet, NotEquals
from proveit.numbers import Complex, Mult, frac, zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y, z], Conditional(Equals(Mult(x, frac(y, z)), frac(Mult(x, y), z)), And(InSet(x, Complex), InSet(y, Complex), InSet(z, Complex), NotEquals(z, 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, z\right) \mapsto \left\{\left(x \cdot \frac{y}{z}\right) = \frac{x \cdot y}{z} \textrm{ if } x \in \mathbb{C} ,  y \in \mathbb{C} ,  z \in \mathbb{C} ,  z \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: 2 body: 3
2	ExprTuple	33, 34, 32
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	12, 13, 14, 15
10	Operation	operator: 30 operands: 16
11	Operation	operator: 28 operands: 17
12	Operation	operator: 20 operands: 18
13	Operation	operator: 20 operands: 19
14	Operation	operator: 20 operands: 21
15	Operation	operator: 22 operands: 23
16	ExprTuple	33, 24
17	ExprTuple	25, 32
18	ExprTuple	33, 26
19	ExprTuple	34, 26
20	Literal
21	ExprTuple	32, 26
22	Literal
23	ExprTuple	32, 27
24	Operation	operator: 28 operands: 29
25	Operation	operator: 30 operands: 31
26	Literal
27	Literal
28	Literal
29	ExprTuple	34, 32
30	Literal
31	ExprTuple	33, 34
32	Variable
33	Variable
34	Variable