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, n
from proveit.logic import And, Equals, InSet, NotEquals
from proveit.numbers import Complex, Exp, Mult, Neg, zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b], Conditional(Equals(Exp(Exp(a, Neg(b)), n), Exp(a, Neg(Mult(b, n)))), And(InSet(a, Complex), InSet(b, Complex), NotEquals(a, 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(a, b\right) \mapsto \left\{(a^{-b})^{n} = a^{-\left(b \cdot n\right)} \textrm{ if } a \in \mathbb{C} ,  b \in \mathbb{C} ,  a \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	29, 36
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
10	Operation	operator: 26 operands: 15
11	Operation	operator: 26 operands: 16
12	Operation	operator: 18 operands: 17
13	Operation	operator: 18 operands: 19
14	Operation	operator: 20 operands: 21
15	ExprTuple	22, 37
16	ExprTuple	29, 23
17	ExprTuple	29, 24
18	Literal
19	ExprTuple	36, 24
20	Literal
21	ExprTuple	29, 25
22	Operation	operator: 26 operands: 27
23	Operation	operator: 32 operand: 31
24	Literal
25	Literal
26	Literal
27	ExprTuple	29, 30
28	ExprTuple	31
29	Variable
30	Operation	operator: 32 operand: 36
31	Operation	operator: 34 operands: 35
32	Literal
33	ExprTuple	36
34	Literal
35	ExprTuple	36, 37
36	Variable
37	Variable