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, NotEquals
from proveit.numbers import Complex, frac, subtract

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

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(w, x, y, z\right) \mapsto \left\{\frac{w - x}{y - z} = \frac{x - w}{z - y} \textrm{ if } w \in \mathbb{C} ,  x \in \mathbb{C} ,  y \in \mathbb{C} ,  z \in \mathbb{C} ,  y \neq z\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	48, 46, 49, 47
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, 16
10	Operation	operator: 18 operands: 17
11	Operation	operator: 18 operands: 19
12	Operation	operator: 23 operands: 20
13	Operation	operator: 23 operands: 21
14	Operation	operator: 23 operands: 22
15	Operation	operator: 23 operands: 24
16	Operation	operator: 25 operands: 26
17	ExprTuple	27, 28
18	Literal
19	ExprTuple	29, 30
20	ExprTuple	48, 31
21	ExprTuple	46, 31
22	ExprTuple	49, 31
23	Literal
24	ExprTuple	47, 31
25	Literal
26	ExprTuple	49, 47
27	Operation	operator: 35 operands: 32
28	Operation	operator: 35 operands: 33
29	Operation	operator: 35 operands: 34
30	Operation	operator: 35 operands: 36
31	Literal
32	ExprTuple	48, 37
33	ExprTuple	49, 38
34	ExprTuple	46, 39
35	Literal
36	ExprTuple	47, 40
37	Operation	operator: 44 operand: 46
38	Operation	operator: 44 operand: 47
39	Operation	operator: 44 operand: 48
40	Operation	operator: 44 operand: 49
41	ExprTuple	46
42	ExprTuple	47
43	ExprTuple	48
44	Literal
45	ExprTuple	49
46	Variable
47	Variable
48	Variable
49	Variable