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