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	9	⊢
2	instantiation	6, 37, 79, 69, 38, 7, 16, 50, 5	⊢
	: , : , : , : , : , :
3	instantiation	6, 79, 37, 7, 8, 38, 16, 50, 17, 40	⊢
	: , : , : , : , : , :
4	instantiation	9, 10, 11, 12	⊢
	: , : , : , :
5	instantiation	77, 55, 13	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	instantiation	46	⊢
	: , :
8	instantiation	46	⊢
	: , :
9	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
10	instantiation	14, 69, 16, 50, 17, 40	⊢
	: , : , : , : , : , : , :
11	instantiation	19, 37, 79, 38, 15, 39, 16, 17, 50, 40, 18*	⊢
	: , : , : , : , : , :
12	instantiation	19, 69, 79, 37, 39, 38, 45, 50, 40, 42*	⊢
	: , : , : , : , : , :
13	instantiation	20, 21, 47	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.leftward_commutation
15	instantiation	46	⊢
	: , :
16	instantiation	77, 55, 22	⊢
	: , : , :
17	instantiation	23, 45	⊢
	:
18	instantiation	31, 24, 25, 26*	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.addition.association
20	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
21	instantiation	27, 52	⊢
	:
22	instantiation	28, 56, 52	⊢
	: , :
23	theorem		⊢
	proveit.numbers.negation.complex_closure
24	instantiation	41, 29	⊢
	: , : , :
25	instantiation	34, 30	⊢
	: , :
26	instantiation	31, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.negation.real_closure
28	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
29	instantiation	34, 35	⊢
	: , :
30	instantiation	36, 37, 79, 69, 38, 39, 50, 40, 45	⊢
	: , : , : , : , : , :
31	axiom		⊢
	proveit.logic.equality.equals_transitivity
32	instantiation	41, 42	⊢
	: , : , :
33	instantiation	43, 45	⊢
	:
34	theorem		⊢
	proveit.logic.equality.equals_reversal
35	instantiation	44, 45	⊢
	:
36	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
37	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
38	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
39	instantiation	46	⊢
	: , :
40	instantiation	77, 55, 47	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.substitution
42	instantiation	48, 49, 50, 51	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
44	theorem		⊢
	proveit.numbers.negation.mult_neg_one_left
45	instantiation	77, 55, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
47	instantiation	77, 60, 53	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
49	instantiation	77, 55, 54	⊢
	: , : , :
50	instantiation	77, 55, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
52	instantiation	77, 60, 57	⊢
	: , : , :
53	instantiation	77, 63, 58	⊢
	: , : , :
54	instantiation	77, 60, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
56	instantiation	77, 60, 61	⊢
	: , : , :
57	instantiation	77, 63, 62	⊢
	: , : , :
58	instantiation	75, 67	⊢
	:
59	instantiation	77, 63, 67	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
61	instantiation	77, 63, 76	⊢
	: , : , :
62	instantiation	77, 64, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	instantiation	66, 67, 68	⊢
	: , :
65	assumption		⊢
66	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
67	instantiation	77, 78, 69	⊢
	: , : , :
68	instantiation	70, 71, 72	⊢
	: , :
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
70	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
71	instantiation	77, 73, 74	⊢
	: , : , :
72	instantiation	75, 76	⊢
	:
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
74	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
75	theorem		⊢
	proveit.numbers.negation.int_closure
76	instantiation	77, 78, 79	⊢
	: , : , :
77	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements