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, w, x, y, z
from proveit.logic import And, Equals, InSet
from proveit.numbers import ComplexNonZero, Mult, frac

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([z, w], Conditional(Equals(Mult(frac(x, z), frac(y, w)), frac(Mult(x, y), Mult(z, w))), And(InSet(z, ComplexNonZero), InSet(w, ComplexNonZero)))))

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(z, w\right) \mapsto \left\{\left(\frac{x}{z} \cdot \frac{y}{w}\right) = \frac{x \cdot y}{z \cdot w} \textrm{ if } z \in \mathbb{C}^{\neq 0} ,  w \in \mathbb{C}^{\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: 28 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
9	Operation	operator: 27 operands: 13
10	Operation	operator: 24 operands: 14
11	Operation	operator: 16 operands: 15
12	Operation	operator: 16 operands: 17
13	ExprTuple	18, 19
14	ExprTuple	20, 21
15	ExprTuple	31, 22
16	Literal
17	ExprTuple	32, 22
18	Operation	operator: 24 operands: 23
19	Operation	operator: 24 operands: 25
20	Operation	operator: 27 operands: 26
21	Operation	operator: 27 operands: 28
22	Literal
23	ExprTuple	29, 31
24	Literal
25	ExprTuple	30, 32
26	ExprTuple	29, 30
27	Literal
28	ExprTuple	31, 32
29	Variable
30	Variable
31	Variable
32	Variable