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, 77, 67, 38, 7, 16, 50, 5	⊢
	: , : , : , : , : , :
3	instantiation	6, 77, 37, 7, 8, 38, 16, 50, 17, 40	⊢
	: , : , : , : , : , :
4	instantiation	9, 10, 11, 12	⊢
	: , : , : , :
5	instantiation	75, 54, 13	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	instantiation	46	⊢
	: , :
8	instantiation	46	⊢
	: , :
9	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
10	instantiation	14, 67, 16, 50, 17, 40	⊢
	: , : , : , : , : , : , :
11	instantiation	19, 37, 77, 38, 15, 39, 16, 17, 50, 40, 18*	⊢
	: , : , : , : , : , :
12	instantiation	19, 67, 77, 37, 39, 38, 45, 50, 40, 42*	⊢
	: , : , : , : , : , :
13	instantiation	20, 21, 22	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.leftward_commutation
15	instantiation	46	⊢
	: , :
16	instantiation	75, 54, 23	⊢
	: , : , :
17	instantiation	47, 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	27, 53	⊢
	:
23	instantiation	28, 55, 52	⊢
	: , :
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, 77, 67, 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	47, 49	⊢
	:
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	75, 54, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
47	theorem		⊢
	proveit.numbers.negation.complex_closure
48	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
49	instantiation	75, 54, 53	⊢
	: , : , :
50	instantiation	75, 54, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
52	instantiation	75, 58, 56	⊢
	: , : , :
53	instantiation	75, 58, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
55	instantiation	75, 58, 59	⊢
	: , : , :
56	instantiation	75, 61, 60	⊢
	: , : , :
57	instantiation	75, 61, 65	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
59	instantiation	75, 61, 74	⊢
	: , : , :
60	instantiation	75, 62, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
62	instantiation	64, 65, 66	⊢
	: , :
63	assumption		⊢
64	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
65	instantiation	75, 76, 67	⊢
	: , : , :
66	instantiation	68, 69, 70	⊢
	: , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
68	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
69	instantiation	75, 71, 72	⊢
	: , : , :
70	instantiation	73, 74	⊢
	:
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
72	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
73	theorem		⊢
	proveit.numbers.negation.int_closure
74	instantiation	75, 76, 77	⊢
	: , : , :
75	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
76	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
77	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements