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, 4, 5, 6*, 7*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
2	instantiation	8, 44, 66	⊢
	: , :
3	reference	58	⊢
4	reference	50	⊢
5	instantiation	9, 58, 59, 60	⊢
	: , : , :
6	instantiation	47, 10, 11	⊢
	: , : , :
7	instantiation	12, 13, 25, 14	⊢
	: , : , : , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_cc_lower_bound
10	instantiation	47, 15, 16	⊢
	: , : , :
11	instantiation	47, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
13	instantiation	47, 19, 20	⊢
	: , : , :
14	instantiation	21, 30	⊢
	: , :
15	instantiation	52, 22	⊢
	: , : , :
16	instantiation	52, 26	⊢
	: , : , :
17	instantiation	31, 32, 99, 33, 34, 35, 23, 36, 39	⊢
	: , : , : , : , : , :
18	instantiation	24, 39, 36, 25	⊢
	: , : , :
19	instantiation	52, 26	⊢
	: , : , :
20	instantiation	47, 27, 28	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.equals_reversal
22	instantiation	52, 30	⊢
	: , : , :
23	instantiation	29, 39	⊢
	:
24	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_31
25	instantiation	46	⊢
	:
26	instantiation	52, 30	⊢
	: , : , :
27	instantiation	31, 32, 99, 33, 34, 35, 38, 36, 39	⊢
	: , : , : , : , : , :
28	instantiation	37, 38, 39, 40	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.complex_closure
30	instantiation	41, 55, 70, 74, 42*	⊢
	: , :
31	theorem		⊢
	proveit.numbers.addition.disassociation
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
34	instantiation	43	⊢
	: , :
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	instantiation	97, 77, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
38	instantiation	97, 77, 50	⊢
	: , : , :
39	instantiation	97, 77, 45	⊢
	: , : , :
40	instantiation	46	⊢
	:
41	theorem		⊢
	proveit.numbers.division.div_as_mult
42	instantiation	47, 48, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
44	instantiation	65, 50	⊢
	:
45	instantiation	51, 64, 73	⊢
	: , :
46	axiom		⊢
	proveit.logic.equality.equals_reflexivity
47	axiom		⊢
	proveit.logic.equality.equals_transitivity
48	instantiation	52, 53	⊢
	: , : , :
49	instantiation	54, 55, 56	⊢
	: , :
50	instantiation	57, 58, 59, 60	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
52	axiom		⊢
	proveit.logic.equality.substitution
53	instantiation	61, 62, 94, 63*	⊢
	: , :
54	theorem		⊢
	proveit.numbers.multiplication.commutation
55	instantiation	97, 77, 73	⊢
	: , : , :
56	instantiation	97, 77, 64	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_cc__is__real
58	instantiation	65, 66	⊢
	:
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
60	assumption		⊢
61	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
62	instantiation	97, 67, 68	⊢
	: , : , :
63	instantiation	69, 70	⊢
	:
64	instantiation	97, 86, 71	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.negation.real_closure
66	instantiation	72, 73, 78, 74	⊢
	: , :
67	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
68	instantiation	97, 75, 76	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
70	instantiation	97, 77, 78	⊢
	: , : , :
71	instantiation	97, 79, 80	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.division.div_real_closure
73	instantiation	97, 81, 82	⊢
	: , : , :
74	instantiation	83, 96	⊢
	:
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
76	instantiation	97, 84, 85	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
78	instantiation	97, 86, 87	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
80	instantiation	88, 89, 90	⊢
	: , :
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
82	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
83	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
85	instantiation	97, 91, 96	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
87	instantiation	97, 92, 93	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
89	instantiation	97, 95, 94	⊢
	: , : , :
90	instantiation	97, 95, 96	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
92	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
93	instantiation	97, 98, 99	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
95	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
96	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
97	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements