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, NaturalPos, frac, zero

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