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