Expression of type Conditional

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, n, x
from proveit.logic import Equals
from proveit.numbers import Exp, frac, greater_eq, one, zero

# build up the expression from sub-expressions
expr = Conditional(Equals(Exp(Exp(x, n), frac(one, n)), x), greater_eq(x, 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\{\sqrt[\leftroot{-3}\uproot{3}n]{(x^{n})} = x \textrm{ if } x \geq 0\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7, 16
5	Literal
6	ExprTuple	8, 16
7	Operation	operator: 12 operands: 9
8	Literal
9	ExprTuple	10, 11
10	Operation	operator: 12 operands: 13
11	Operation	operator: 14 operands: 15
12	Literal
13	ExprTuple	16, 18
14	Literal
15	ExprTuple	17, 18
16	Variable
17	Literal
18	Variable