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