Theorem one_over_x_sqrd_in_mon_dec_fxns of type InSet

from the theory of proveit.numbers.functions

see dependencies

import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.numbers.functions import one_over_x_sqrd_in_mon_dec_fxns

# check that the built expression is the same as the stored expression
assert one_over_x_sqrd_in_mon_dec_fxns.expr == stored_expr
assert one_over_x_sqrd_in_mon_dec_fxns.expr._style_id == stored_expr._style_id
print("Passed sanity check: one_over_x_sqrd_in_mon_dec_fxns matches stored_expr")

Passed sanity check: one_over_x_sqrd_in_mon_dec_fxns matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left[x \mapsto \frac{1}{x^{2}}\right] \in \textrm{MonDecFuncs}\left(\mathbb{R}^+\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

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