Expression of type ExprTuple

from the theory of proveit.numbers.exponentiation

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, a, b
from proveit.logic import And, Equals, InSet
from proveit.numbers import Complex, Exp, subtract, two

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b], Conditional(Equals(Exp(subtract(a, b), two), Exp(subtract(b, a), two)), And(InSet(a, Complex), InSet(b, Complex)))))

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(a, b\right) \mapsto \left\{\left(a - b\right)^{2} = \left(b - a\right)^{2} \textrm{ if } a \in \mathbb{C} ,  b \in \mathbb{C}\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, 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
10	Operation	operator: 15 operands: 14
11	Operation	operator: 15 operands: 16
12	Operation	operator: 18 operands: 17
13	Operation	operator: 18 operands: 19
14	ExprTuple	20, 22
15	Literal
16	ExprTuple	21, 22
17	ExprTuple	33, 23
18	Literal
19	ExprTuple	32, 23
20	Operation	operator: 25 operands: 24
21	Operation	operator: 25 operands: 26
22	Literal
23	Literal
24	ExprTuple	33, 27
25	Literal
26	ExprTuple	32, 28
27	Operation	operator: 30 operand: 32
28	Operation	operator: 30 operand: 33
29	ExprTuple	32
30	Literal
31	ExprTuple	33
32	Variable
33	Variable