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	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
3	instantiation	4, 43, 5, 6, 7, 8*, 9*	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
5	instantiation	10, 37, 13	⊢
	: , :
6	instantiation	65, 57, 11	⊢
	: , : , :
7	instantiation	12, 37, 13, 52, 14, 15	⊢
	: , : , :
8	instantiation	33, 16, 17	⊢
	: , : , :
9	instantiation	33, 18, 19	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
11	instantiation	20, 44, 58	⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.strong_bound_via_right_factor_bound
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
14	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
15	instantiation	21, 50	⊢
	:
16	instantiation	24, 22	⊢
	: , : , :
17	instantiation	23, 36	⊢
	:
18	instantiation	24, 25	⊢
	: , : , :
19	instantiation	26, 64, 53, 27*, 28*, 29*	⊢
	: , : , : , :
20	theorem		⊢
	proveit.numbers.multiplication.mult_rational_closure_bin
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos
22	instantiation	30, 31	⊢
	:
23	theorem		⊢
	proveit.numbers.addition.elim_zero_left
24	axiom		⊢
	proveit.logic.equality.substitution
25	instantiation	46, 31	⊢
	:
26	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
27	instantiation	32, 36	⊢
	:
28	instantiation	33, 34, 35	⊢
	: , : , :
29	instantiation	46, 36	⊢
	:
30	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
31	instantiation	65, 51, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.division.frac_one_denom
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	38, 59, 39, 40, 41, 42	⊢
	: , : , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_4
36	instantiation	65, 51, 43	⊢
	: , : , :
37	instantiation	65, 57, 44	⊢
	: , : , :
38	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
39	instantiation	45	⊢
	: , :
40	instantiation	45	⊢
	: , :
41	instantiation	46, 47	⊢
	:
42	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
43	instantiation	65, 57, 48	⊢
	: , : , :
44	instantiation	65, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
46	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
47	instantiation	65, 51, 52	⊢
	: , : , :
48	instantiation	65, 63, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
50	instantiation	54, 55, 56	⊢
	: , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	instantiation	65, 57, 58	⊢
	: , : , :
53	instantiation	65, 66, 59	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
55	instantiation	65, 61, 60	⊢
	: , : , :
56	instantiation	65, 61, 62	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
58	instantiation	65, 63, 64	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
60	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
61	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
62	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	instantiation	65, 66, 67	⊢
	: , : , :
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.nat1
*equality replacement requirements