Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	9, 10, 11, 12*	⊢
	: , :
6	theorem		⊢
	proveit.numbers.multiplication.commutation
7	instantiation	40, 26, 13	⊢
	: , : , :
8	instantiation	40, 26, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
10	instantiation	40, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
12	instantiation	17, 18	⊢
	:
13	instantiation	40, 19, 20	⊢
	: , : , :
14	instantiation	21, 22, 27, 23	⊢
	: , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
16	instantiation	40, 24, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
18	instantiation	40, 26, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
21	theorem		⊢
	proveit.numbers.division.div_real_closure
22	instantiation	40, 32, 28	⊢
	: , : , :
23	instantiation	29, 36	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
25	instantiation	40, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	40, 32, 33	⊢
	: , : , :
28	instantiation	40, 37, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
31	instantiation	40, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	40, 37, 38	⊢
	: , : , :
34	instantiation	40, 41, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	40, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements