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	⊢
	: , : , :
1	reference	28	⊢
2	instantiation	33, 3, 4	⊢
	: , : , :
3	instantiation	28, 5	⊢
	: , : , :
4	instantiation	14, 52, 6, 7, 8*	⊢
	: , :
5	instantiation	28, 9	⊢
	: , : , :
6	instantiation	26, 49, 36	⊢
	: , :
7	instantiation	10, 61, 11	⊢
	: , :
8	instantiation	33, 12, 13	⊢
	: , : , :
9	instantiation	14, 58, 49, 24, 15*	⊢
	: , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
11	instantiation	95, 16, 68	⊢
	: , : , :
12	instantiation	28, 17	⊢
	: , : , :
13	instantiation	18, 19	⊢
	:
14	theorem		⊢
	proveit.numbers.division.div_as_mult
15	instantiation	33, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
17	instantiation	22, 49, 45, 23, 24, 25*	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
19	instantiation	26, 49, 27	⊢
	: , :
20	instantiation	28, 29	⊢
	: , : , :
21	instantiation	30, 58, 57	⊢
	: , :
22	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
23	instantiation	95, 73, 31	⊢
	: , : , :
24	instantiation	32, 97	⊢
	:
25	instantiation	33, 34, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
27	instantiation	51, 36	⊢
	:
28	axiom		⊢
	proveit.logic.equality.substitution
29	instantiation	37, 38, 94, 39*	⊢
	: , :
30	theorem		⊢
	proveit.numbers.multiplication.commutation
31	instantiation	95, 81, 40	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	41, 54, 88, 90, 56, 55, 57, 58, 42	⊢
	: , : , : , : , : , :
35	instantiation	43, 88, 54, 55, 56, 57, 58, 52, 44*	⊢
	: , : , : , : , :
36	instantiation	95, 66, 45	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
38	instantiation	95, 46, 47	⊢
	: , : , :
39	instantiation	48, 49	⊢
	:
40	instantiation	50, 82	⊢
	:
41	theorem		⊢
	proveit.numbers.multiplication.disassociation
42	instantiation	51, 52	⊢
	:
43	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
44	instantiation	53, 88, 54, 55, 56, 57, 58	⊢
	: , : , : , :
45	instantiation	95, 73, 59	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
47	instantiation	95, 60, 61	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
49	instantiation	95, 66, 62	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.negation.int_closure
51	theorem		⊢
	proveit.numbers.negation.complex_closure
52	instantiation	95, 66, 63	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
54	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
55	instantiation	64	⊢
	: , :
56	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
57	instantiation	95, 66, 65	⊢
	: , : , :
58	instantiation	95, 66, 67	⊢
	: , : , :
59	instantiation	95, 83, 68	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
61	instantiation	95, 69, 70	⊢
	: , : , :
62	instantiation	95, 73, 71	⊢
	: , : , :
63	instantiation	95, 73, 72	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
65	instantiation	95, 73, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
67	instantiation	75, 76, 87	⊢
	: , : , :
68	instantiation	77, 84, 78	⊢
	: , :
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
70	instantiation	95, 79, 97	⊢
	: , : , :
71	instantiation	95, 81, 80	⊢
	: , : , :
72	instantiation	95, 81, 82	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
74	instantiation	95, 83, 84	⊢
	: , : , :
75	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
76	instantiation	85, 86	⊢
	: , :
77	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
78	instantiation	95, 96, 87	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
80	instantiation	95, 89, 88	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
82	instantiation	95, 89, 90	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
84	instantiation	91, 92, 93	⊢
	: , :
85	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
87	assumption		⊢
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
91	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
92	instantiation	95, 96, 94	⊢
	: , : , :
93	instantiation	95, 96, 97	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
97	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements