Expression of type Lambda

from the theory of proveit.numbers.functions

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 Lambda, x
from proveit.numbers import Exp, frac, one, two

# build up the expression from sub-expressions
expr = Lambda(x, frac(one, Exp(x, two)))

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 \frac{1}{x^{2}}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 9 body: 2
1	ExprTuple	9
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Literal
6	Operation	operator: 7 operands: 8
7	Literal
8	ExprTuple	9, 10
9	Variable
10	Literal