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, 5, 6, 7, 8, 9, 10, 11*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	25	⊢
3	reference	65	⊢
4	reference	26	⊢
5	instantiation	34	⊢
	: , :
6	reference	27	⊢
7	instantiation	63, 42, 12	⊢
	: , : , :
8	instantiation	35, 33	⊢
	:
9	reference	38	⊢
10	reference	28	⊢
11	instantiation	19, 13, 14, 15*	⊢
	: , : , :
12	instantiation	16, 43, 40	⊢
	: , :
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, 65, 55, 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	35, 37	⊢
	:
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	63, 42, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	theorem		⊢
	proveit.numbers.negation.complex_closure
36	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
37	instantiation	63, 42, 41	⊢
	: , : , :
38	instantiation	63, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
40	instantiation	63, 46, 44	⊢
	: , : , :
41	instantiation	63, 46, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	63, 46, 47	⊢
	: , : , :
44	instantiation	63, 49, 48	⊢
	: , : , :
45	instantiation	63, 49, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	63, 49, 62	⊢
	: , : , :
48	instantiation	63, 50, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
50	instantiation	52, 53, 54	⊢
	: , :
51	assumption		⊢
52	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
53	instantiation	63, 64, 55	⊢
	: , : , :
54	instantiation	56, 57, 58	⊢
	: , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
56	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
57	instantiation	63, 59, 60	⊢
	: , : , :
58	instantiation	61, 62	⊢
	:
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
60	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
61	theorem		⊢
	proveit.numbers.negation.int_closure
62	instantiation	63, 64, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements