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, 4, 5*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_as_mult
2	reference	13	⊢
3	reference	23	⊢
4	instantiation	6, 45	⊢
	:
5	instantiation	7, 8, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	10, 11	⊢
	: , : , :
9	instantiation	12, 13, 14	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.substitution
11	instantiation	15, 16, 43, 17*	⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.commutation
13	instantiation	46, 29, 18	⊢
	: , : , :
14	instantiation	46, 29, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
16	instantiation	46, 20, 21	⊢
	: , : , :
17	instantiation	22, 23	⊢
	:
18	instantiation	46, 24, 25	⊢
	: , : , :
19	instantiation	46, 35, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
21	instantiation	46, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
23	instantiation	46, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
26	instantiation	46, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
28	instantiation	46, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	46, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
32	instantiation	37, 38, 39	⊢
	: , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
34	instantiation	46, 40, 45	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	46, 41, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
38	instantiation	46, 44, 43	⊢
	: , : , :
39	instantiation	46, 44, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	46, 47, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements