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, 40, 11*	⊢
	: , :
6	theorem		⊢
	proveit.numbers.multiplication.commutation
7	instantiation	43, 24, 12	⊢
	: , : , :
8	instantiation	43, 24, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
10	instantiation	43, 14, 15	⊢
	: , : , :
11	instantiation	16, 17	⊢
	:
12	instantiation	18, 19, 20	⊢
	: , : , :
13	instantiation	43, 32, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
15	instantiation	43, 22, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
17	instantiation	43, 24, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
19	instantiation	26, 27	⊢
	: , :
20	assumption		⊢
21	instantiation	43, 28, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
23	instantiation	43, 30, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	43, 32, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
29	instantiation	34, 35, 36	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
31	instantiation	43, 37, 42	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	43, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
35	instantiation	43, 41, 40	⊢
	: , : , :
36	instantiation	43, 41, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	43, 44, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements