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	generalization	1	⊢
1	instantiation	2, 55, 3, 4	,  ⊢
	: , :
2	theorem		⊢
	proveit.numbers.division.div_real_closure
3	instantiation	5, 6, 72	,  ⊢
	: , :
4	instantiation	7, 8	,  ⊢
	:
5	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
6	instantiation	9, 10, 11	,  ⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
8	instantiation	12, 13, 72	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
10	instantiation	70, 58, 14	,  ⊢
	: , : , :
11	instantiation	15, 55	⊢
	:
12	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
13	instantiation	16, 17, 18	,  ⊢
	:
14	instantiation	70, 63, 19	,  ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.real_closure
16	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
17	instantiation	60, 19, 20	,  ⊢
	: , :
18	instantiation	21, 22	,  ⊢
	: , :
19	instantiation	70, 23, 38	,  ⊢
	: , : , :
20	instantiation	70, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.ordering.relax_less
22	instantiation	26, 27	,  ⊢
	: , :
23	instantiation	56, 37, 61	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
25	instantiation	28, 29	⊢
	:
26	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
27	instantiation	40, 30, 31	,  ⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.int_neg_closure
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
30	instantiation	32, 55, 33, 34, 35, 36*	⊢
	: , : , :
31	instantiation	47, 37, 61, 38	,  ⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
34	instantiation	70, 58, 39	⊢
	: , : , :
35	instantiation	40, 41, 42	⊢
	: , : , :
36	instantiation	43, 44, 45	⊢
	: , : , :
37	instantiation	60, 46, 64	⊢
	: , :
38	assumption		⊢
39	instantiation	70, 63, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
41	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
42	instantiation	47, 64, 57, 53	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.equality.sub_right_side_into
44	instantiation	48, 50	⊢
	:
45	instantiation	49, 50, 51	⊢
	: , :
46	instantiation	70, 52, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
48	theorem		⊢
	proveit.numbers.addition.elim_zero_right
49	theorem		⊢
	proveit.numbers.addition.commutation
50	instantiation	70, 54, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
52	instantiation	56, 64, 57	⊢
	: , :
53	assumption		⊢
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
55	instantiation	70, 58, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
57	instantiation	60, 61, 62	⊢
	: , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
59	instantiation	70, 63, 64	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
61	instantiation	70, 65, 66	⊢
	: , : , :
62	instantiation	67, 68	⊢
	:
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	instantiation	70, 71, 69	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
66	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
67	theorem		⊢
	proveit.numbers.negation.int_closure
68	instantiation	70, 71, 72	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
70	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements