Expression of type Lambda

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, Lambda, 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 = Lambda(x, 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())

x \mapsto \left\{\sqrt[\leftroot{-3}\uproot{3}n]{(x^{n})} = x \textrm{ if } x \geq 0\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 18 body: 2
1	ExprTuple	18
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 18
7	Literal
8	ExprTuple	10, 18
9	Operation	operator: 14 operands: 11
10	Literal
11	ExprTuple	12, 13
12	Operation	operator: 14 operands: 15
13	Operation	operator: 16 operands: 17
14	Literal
15	ExprTuple	18, 20
16	Literal
17	ExprTuple	19, 20
18	Variable
19	Literal
20	Variable