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)), Neg(n)), Exp(a, 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^{b \cdot n} \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	32, 37
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: 27 operands: 15
11	Operation	operator: 27 operands: 16
12	Operation	operator: 18 operands: 17
13	Operation	operator: 18 operands: 19
14	Operation	operator: 20 operands: 21
15	ExprTuple	22, 23
16	ExprTuple	32, 24
17	ExprTuple	32, 25
18	Literal
19	ExprTuple	37, 25
20	Literal
21	ExprTuple	32, 26
22	Operation	operator: 27 operands: 28
23	Operation	operator: 35 operand: 34
24	Operation	operator: 30 operands: 31
25	Literal
26	Literal
27	Literal
28	ExprTuple	32, 33
29	ExprTuple	34
30	Literal
31	ExprTuple	37, 34
32	Variable
33	Operation	operator: 35 operand: 37
34	Variable
35	Literal
36	ExprTuple	37
37	Variable