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	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 44	⊢
	:
3	instantiation	37, 5, 6	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
5	instantiation	7, 8	⊢
	: , : , :
6	instantiation	9, 10, 11, 24, 12*, 13*	⊢
	: , : , :
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	14, 15, 62, 60, 16, 17, 18*	⊢
	: , : , : , :
9	theorem		⊢
	proveit.numbers.division.frac_cancel_left
10	instantiation	78, 20, 19	⊢
	: , : , :
11	instantiation	78, 20, 21	⊢
	: , : , :
12	instantiation	22, 31	⊢
	:
13	instantiation	23, 24	⊢
	:
14	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_real
15	instantiation	78, 25, 26	⊢
	: , : , :
16	instantiation	27, 62, 59	⊢
	: , :
17	instantiation	28, 29	⊢
	: , :
18	instantiation	30, 31	⊢
	:
19	instantiation	78, 33, 32	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
21	instantiation	78, 33, 34	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
23	theorem		⊢
	proveit.numbers.division.frac_one_denom
24	instantiation	78, 61, 35	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
26	instantiation	78, 36, 55	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
28	theorem		⊢
	proveit.logic.equality.equals_reversal
29	instantiation	37, 38, 39	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
31	instantiation	78, 61, 40	⊢
	: , : , :
32	instantiation	78, 42, 41	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
34	instantiation	78, 42, 43	⊢
	: , : , :
35	instantiation	68, 69, 44	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
37	axiom		⊢
	proveit.logic.equality.equals_transitivity
38	instantiation	45, 80, 71, 46, 47, 48, 51, 52, 49	⊢
	: , : , : , : , : , :
39	instantiation	50, 51, 52, 53	⊢
	: , : , :
40	instantiation	78, 66, 54	⊢
	: , : , :
41	instantiation	78, 56, 55	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
43	instantiation	78, 56, 57	⊢
	: , : , :
44	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
45	theorem		⊢
	proveit.numbers.addition.disassociation
46	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
47	instantiation	58	⊢
	: , :
48	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
49	instantiation	78, 61, 59	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
51	instantiation	78, 61, 60	⊢
	: , : , :
52	instantiation	78, 61, 62	⊢
	: , : , :
53	instantiation	63	⊢
	:
54	instantiation	78, 73, 64	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
58	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
59	instantiation	78, 66, 65	⊢
	: , : , :
60	instantiation	78, 66, 67	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
62	instantiation	68, 69, 70	⊢
	: , : , :
63	axiom		⊢
	proveit.logic.equality.equals_reflexivity
64	instantiation	78, 79, 71	⊢
	: , : , :
65	instantiation	78, 73, 72	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
67	instantiation	78, 73, 77	⊢
	: , : , :
68	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
69	instantiation	74, 75	⊢
	: , :
70	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
72	instantiation	76, 77	⊢
	:
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
74	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
76	theorem		⊢
	proveit.numbers.negation.int_closure
77	instantiation	78, 79, 80	⊢
	: , : , :
78	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements