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.booleans.conjunction.and_if_both
2	instantiation	4, 5, 49, 6, 7, 8*, 9*	⊢
	: , : , :
3	instantiation	25, 10, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
5	instantiation	12, 47	⊢
	:
6	instantiation	13, 43, 47	⊢
	: , :
7	instantiation	21, 49, 43, 47, 14, 23	⊢
	: , : , :
8	instantiation	15, 39, 42, 16, 17	⊢
	: , : , :
9	instantiation	18, 19, 20	⊢
	: , : , :
10	instantiation	21, 43, 50, 47, 22, 23	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
12	theorem		⊢
	proveit.numbers.negation.real_closure
13	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
14	instantiation	24, 49, 50, 51	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
16	instantiation	65, 46, 49	⊢
	: , : , :
17	instantiation	25, 26, 27	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	28, 29, 62, 63, 30, 31, 34, 42, 32	⊢
	: , : , : , : , : , :
20	instantiation	33, 42, 34, 35	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.ordering.less_add_right
22	instantiation	36, 49, 50, 51	⊢
	: , : , :
23	instantiation	37, 63	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oo_lower_bound
25	theorem		⊢
	proveit.logic.equality.sub_right_side_into
26	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
27	instantiation	38, 42, 39	⊢
	: , :
28	theorem		⊢
	proveit.numbers.addition.disassociation
29	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	instantiation	40	⊢
	: , :
32	instantiation	41, 42	⊢
	:
33	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
34	instantiation	65, 46, 43	⊢
	: , : , :
35	instantiation	44	⊢
	:
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oo_upper_bound
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
38	theorem		⊢
	proveit.numbers.addition.commutation
39	instantiation	65, 46, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
41	theorem		⊢
	proveit.numbers.negation.complex_closure
42	instantiation	65, 46, 47	⊢
	: , : , :
43	instantiation	48, 49, 50, 51	⊢
	: , : , :
44	axiom		⊢
	proveit.logic.equality.equals_reflexivity
45	instantiation	65, 55, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	instantiation	65, 55, 53	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
49	instantiation	65, 55, 54	⊢
	: , : , :
50	instantiation	65, 55, 56	⊢
	: , : , :
51	assumption		⊢
52	instantiation	65, 60, 57	⊢
	: , : , :
53	instantiation	65, 60, 58	⊢
	: , : , :
54	instantiation	65, 60, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	65, 60, 61	⊢
	: , : , :
57	instantiation	65, 66, 62	⊢
	: , : , :
58	instantiation	65, 66, 63	⊢
	: , : , :
59	instantiation	65, 66, 64	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	65, 66, 67	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
*equality replacement requirements