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	reference	23	⊢
2	instantiation	21, 4	⊢
	: , : , :
3	instantiation	23, 5, 6	⊢
	: , : , :
4	instantiation	7, 32, 42, 8, 9*	⊢
	: , :
5	instantiation	21, 10	⊢
	: , : , :
6	instantiation	11, 12	⊢
	: , :
7	theorem		⊢
	proveit.numbers.division.div_as_mult
8	instantiation	13, 85	⊢
	:
9	instantiation	23, 14, 15	⊢
	: , : , :
10	instantiation	16, 17, 48	⊢
	: , :
11	theorem		⊢
	proveit.logic.equality.equals_reversal
12	instantiation	18, 42, 19, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14	instantiation	21, 22	⊢
	: , : , :
15	instantiation	23, 24, 25	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.commutation
17	instantiation	83, 55, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.exponentiation.product_of_pos_powers
19	instantiation	83, 27, 75	⊢
	: , : , :
20	instantiation	83, 27, 49	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.substitution
22	instantiation	28, 29, 82, 30*	⊢
	: , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	31, 32, 48	⊢
	: , :
25	instantiation	33, 78, 76, 34, 35, 36, 48, 44, 45, 37*	⊢
	: , : , : , : , : , :
26	instantiation	83, 65, 38	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
28	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
29	instantiation	83, 39, 40	⊢
	: , : , :
30	instantiation	41, 42	⊢
	:
31	theorem		⊢
	proveit.numbers.multiplication.commutation
32	instantiation	43, 44, 45	⊢
	: , :
33	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
34	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
35	instantiation	46	⊢
	: , :
36	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
37	instantiation	47, 48	⊢
	:
38	instantiation	83, 74, 49	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
40	instantiation	83, 50, 51	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
42	instantiation	83, 55, 52	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
44	instantiation	83, 55, 53	⊢
	: , : , :
45	instantiation	83, 55, 54	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
47	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
48	instantiation	83, 55, 56	⊢
	: , : , :
49	instantiation	57, 75, 58	⊢
	: , :
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
51	instantiation	83, 59, 60	⊢
	: , : , :
52	instantiation	83, 65, 61	⊢
	: , : , :
53	instantiation	62, 63, 67	⊢
	: , : , :
54	instantiation	83, 65, 64	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
56	instantiation	83, 65, 66	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
58	instantiation	83, 84, 67	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
60	instantiation	83, 68, 85	⊢
	: , : , :
61	instantiation	83, 72, 69	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
63	instantiation	70, 71	⊢
	: , :
64	instantiation	83, 72, 73	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
66	instantiation	83, 74, 75	⊢
	: , : , :
67	assumption		⊢
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
69	instantiation	83, 77, 76	⊢
	: , : , :
70	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
72	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
73	instantiation	83, 77, 78	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
75	instantiation	79, 80, 81	⊢
	: , :
76	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
79	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
80	instantiation	83, 84, 82	⊢
	: , : , :
81	instantiation	83, 84, 85	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
83	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
85	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements