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	⊢
	: , : , : , :
1	reference	29	⊢
2	instantiation	16, 5, 6	⊢
	: , : , :
3	instantiation	19	⊢
	:
4	instantiation	41, 20	⊢
	: , :
5	instantiation	43, 7	⊢
	: , : , :
6	instantiation	16, 8, 9	⊢
	: , : , :
7	instantiation	16, 10, 11	⊢
	: , : , :
8	instantiation	21, 24, 99, 96, 26, 12, 27, 53, 66	⊢
	: , : , : , : , : , :
9	instantiation	13, 66, 27, 14	⊢
	: , : , :
10	instantiation	43, 15	⊢
	: , : , :
11	instantiation	16, 17, 18	⊢
	: , : , :
12	instantiation	33	⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
14	instantiation	19	⊢
	:
15	instantiation	43, 20	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	21, 24, 99, 96, 26, 22, 27, 50, 66	⊢
	: , : , : , : , : , :
18	instantiation	23, 96, 99, 24, 25, 26, 27, 50, 66, 28*	⊢
	: , : , : , : , : , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	instantiation	29, 30, 31, 32	⊢
	: , : , : , :
21	theorem		⊢
	proveit.numbers.addition.disassociation
22	instantiation	33	⊢
	: , :
23	theorem		⊢
	proveit.numbers.addition.association
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	instantiation	33	⊢
	: , :
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	instantiation	34, 35, 36	⊢
	: , :
28	instantiation	37, 38, 39	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
30	instantiation	43, 40	⊢
	: , : , :
31	instantiation	41, 42	⊢
	: , :
32	instantiation	43, 44	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
35	instantiation	45, 66, 46, 47	⊢
	: , :
36	instantiation	59, 72, 52	⊢
	: , :
37	theorem		⊢
	proveit.logic.equality.sub_right_side_into
38	instantiation	48, 66, 72, 49	⊢
	: , : , :
39	instantiation	51, 66, 50	⊢
	: , :
40	instantiation	51, 52, 53	⊢
	: , :
41	theorem		⊢
	proveit.logic.equality.equals_reversal
42	instantiation	54, 72, 55, 64, 61	⊢
	: , : , :
43	axiom		⊢
	proveit.logic.equality.substitution
44	instantiation	56, 57, 58	⊢
	: , :
45	theorem		⊢
	proveit.numbers.division.div_complex_closure
46	instantiation	59, 72, 66	⊢
	: , :
47	instantiation	60, 61, 62	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
49	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
50	instantiation	97, 80, 63	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.addition.commutation
52	instantiation	97, 80, 64	⊢
	: , : , :
53	instantiation	65, 66	⊢
	:
54	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
55	instantiation	67, 77	⊢
	:
56	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
57	instantiation	97, 68, 69	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
59	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
60	theorem		⊢
	proveit.logic.equality.sub_left_side_into
61	instantiation	70, 93	⊢
	:
62	instantiation	71, 72	⊢
	:
63	instantiation	97, 88, 73	⊢
	: , : , :
64	instantiation	74, 75, 76	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.negation.complex_closure
66	instantiation	97, 80, 77	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.negation.real_closure
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
69	instantiation	97, 78, 79	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
71	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
72	instantiation	97, 80, 81	⊢
	: , : , :
73	instantiation	97, 94, 82	⊢
	: , : , :
74	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
75	instantiation	83, 84	⊢
	: , :
76	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
77	instantiation	97, 88, 85	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
79	instantiation	97, 86, 87	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
81	instantiation	97, 88, 89	⊢
	: , : , :
82	instantiation	90, 95	⊢
	:
83	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
84	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
85	instantiation	97, 94, 91	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
87	instantiation	97, 92, 93	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
89	instantiation	97, 94, 95	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.negation.int_closure
91	instantiation	97, 98, 96	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
93	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
94	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
95	instantiation	97, 98, 99	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
97	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements