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