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	⊢
	: , : , :
1	reference	49	⊢
2	instantiation	4, 5, 37, 36, 6, 7, 38, 42, 46	⊢
	: , : , : , : , : , :
3	instantiation	8, 9, 10, 11	⊢
	: , : , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
6	instantiation	12	⊢
	: , : , : , :
7	instantiation	47	⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
9	instantiation	49, 13, 14	⊢
	: , : , :
10	instantiation	35, 36, 61, 38, 15, 17, 42, 46, 16*	⊢
	: , : , : , : , : , :
11	instantiation	35, 71, 61, 36, 17, 38, 18, 46, 19*	⊢
	: , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
13	instantiation	21, 71, 61, 20, 42, 46	⊢
	: , : , : , : , : , : , :
14	instantiation	21, 37, 71, 22, 23, 42, 46	⊢
	: , : , : , : , : , : , :
15	instantiation	44	⊢
	: , : , :
16	instantiation	27, 24, 29*	⊢
	: , :
17	instantiation	44	⊢
	: , : , :
18	instantiation	25, 26, 42	⊢
	: , :
19	instantiation	27, 28, 29*	⊢
	: , :
20	instantiation	44	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.leftward_commutation
22	instantiation	47	⊢
	: , :
23	instantiation	47	⊢
	: , :
24	instantiation	32, 36, 61, 71, 38, 33, 40, 42, 30*	⊢
	: , : , : , : , : , :
25	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
26	instantiation	69, 54, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.equals_reversal
28	instantiation	32, 36, 61, 71, 38, 33, 40, 46, 34*	⊢
	: , : , : , : , : , :
29	instantiation	35, 36, 37, 71, 38, 39, 40, 41*	⊢
	: , : , : , : , : , :
30	instantiation	45, 42	⊢
	:
31	instantiation	69, 56, 43	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
33	instantiation	44	⊢
	: , : , :
34	instantiation	45, 46	⊢
	:
35	theorem		⊢
	proveit.numbers.addition.association
36	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
39	instantiation	47	⊢
	: , :
40	instantiation	69, 54, 48	⊢
	: , : , :
41	instantiation	49, 50, 51	⊢
	: , : , :
42	instantiation	69, 54, 52	⊢
	: , : , :
43	instantiation	69, 65, 53	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
45	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
46	instantiation	69, 54, 55	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	instantiation	69, 56, 57	⊢
	: , : , :
49	axiom		⊢
	proveit.logic.equality.equals_transitivity
50	instantiation	58, 59	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
52	instantiation	62, 63, 60	⊢
	: , : , :
53	instantiation	69, 70, 61	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
55	instantiation	62, 63, 64	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	69, 65, 66	⊢
	: , : , :
58	axiom		⊢
	proveit.logic.equality.substitution
59	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
60	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
62	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
63	instantiation	67, 68	⊢
	: , :
64	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
65	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
66	instantiation	69, 70, 71	⊢
	: , : , :
67	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
69	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements