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