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	modus ponens	1, 2	⊢
1	instantiation	3	⊢
	: , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.numbers.summation.summation_real_closure
4	instantiation	5, 58, 6, 7	,  ⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_real_closure
6	instantiation	8, 9, 75	,  ⊢
	: , :
7	instantiation	10, 11	,  ⊢
	:
8	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
9	instantiation	12, 13, 14	,  ⊢
	: , :
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
11	instantiation	15, 16, 75	,  ⊢
	: , :
12	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
13	instantiation	73, 61, 17	,  ⊢
	: , : , :
14	instantiation	18, 58	⊢
	:
15	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
16	instantiation	19, 20, 21	,  ⊢
	:
17	instantiation	73, 66, 22	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.negation.real_closure
19	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
20	instantiation	63, 22, 23	,  ⊢
	: , :
21	instantiation	24, 25	,  ⊢
	: , :
22	instantiation	73, 26, 41	,  ⊢
	: , : , :
23	instantiation	73, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.ordering.relax_less
25	instantiation	29, 30	,  ⊢
	: , :
26	instantiation	59, 40, 64	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
28	instantiation	31, 32	⊢
	:
29	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
30	instantiation	43, 33, 34	,  ⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.negation.int_neg_closure
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
33	instantiation	35, 58, 36, 37, 38, 39*	⊢
	: , : , :
34	instantiation	50, 40, 64, 41	,  ⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
37	instantiation	73, 61, 42	⊢
	: , : , :
38	instantiation	43, 44, 45	⊢
	: , : , :
39	instantiation	46, 47, 48	⊢
	: , : , :
40	instantiation	63, 49, 67	⊢
	: , :
41	assumption		⊢
42	instantiation	73, 66, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
44	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
45	instantiation	50, 67, 60, 56	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.equality.sub_right_side_into
47	instantiation	51, 53	⊢
	:
48	instantiation	52, 53, 54	⊢
	: , :
49	instantiation	73, 55, 56	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
51	theorem		⊢
	proveit.numbers.addition.elim_zero_right
52	theorem		⊢
	proveit.numbers.addition.commutation
53	instantiation	73, 57, 58	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
55	instantiation	59, 67, 60	⊢
	: , :
56	assumption		⊢
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
58	instantiation	73, 61, 62	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
60	instantiation	63, 64, 65	⊢
	: , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
62	instantiation	73, 66, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
64	instantiation	73, 68, 69	⊢
	: , : , :
65	instantiation	70, 71	⊢
	:
66	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
67	instantiation	73, 74, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
69	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
70	theorem		⊢
	proveit.numbers.negation.int_closure
71	instantiation	73, 74, 75	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements