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	45	⊢
2	instantiation	4, 5, 6, 68, 7, 8, 9, 61, 10	⊢
	: , : , : , : , : , :
3	instantiation	53, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.association
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	12	⊢
	: , :
9	instantiation	66, 64, 13	⊢
	: , : , :
10	instantiation	66, 64, 14	⊢
	: , : , :
11	instantiation	21, 15, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	17, 48, 65, 18	⊢
	: , :
14	instantiation	19, 20	⊢
	:
15	instantiation	21, 22, 23	⊢
	: , : , :
16	instantiation	24, 25, 26, 27	⊢
	: , : , : , :
17	theorem		⊢
	proveit.numbers.division.div_real_closure
18	instantiation	28, 71	⊢
	:
19	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
20	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
21	theorem		⊢
	proveit.logic.equality.sub_right_side_into
22	instantiation	29, 40, 30, 31	⊢
	: , : , : , : , :
23	instantiation	45, 32, 33	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
25	instantiation	53, 34	⊢
	: , : , :
26	instantiation	53, 34	⊢
	: , : , :
27	instantiation	60, 40	⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
30	instantiation	66, 36, 35	⊢
	: , : , :
31	instantiation	66, 36, 37	⊢
	: , : , :
32	instantiation	53, 38	⊢
	: , : , :
33	instantiation	53, 39	⊢
	: , : , :
34	instantiation	55, 40	⊢
	:
35	instantiation	66, 42, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
37	instantiation	66, 42, 43	⊢
	: , : , :
38	instantiation	53, 44	⊢
	: , : , :
39	instantiation	45, 46, 47	⊢
	: , : , :
40	instantiation	66, 64, 48	⊢
	: , : , :
41	instantiation	66, 50, 49	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
43	instantiation	66, 50, 51	⊢
	: , : , :
44	instantiation	52, 61	⊢
	:
45	axiom		⊢
	proveit.logic.equality.equals_transitivity
46	instantiation	53, 54	⊢
	: , : , :
47	instantiation	55, 61	⊢
	:
48	instantiation	66, 56, 57	⊢
	: , : , :
49	instantiation	66, 59, 58	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
51	instantiation	66, 59, 71	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
53	axiom		⊢
	proveit.logic.equality.substitution
54	instantiation	60, 61	⊢
	:
55	theorem		⊢
	proveit.numbers.division.frac_one_denom
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	66, 62, 63	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
60	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
61	instantiation	66, 64, 65	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
63	instantiation	66, 67, 68	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
65	instantiation	69, 70, 71	⊢
	: , : , :
66	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
69	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
70	instantiation	72, 73	⊢
	: , :
71	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
72	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real