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	⊢
	: , : , :
1	reference	5	⊢
2	instantiation	12, 3, 4	⊢
	: , : , :
3	instantiation	5, 6	⊢
	: , : , :
4	instantiation	7, 8, 9, 42, 43, 44, 10*, 11*	⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.substitution
6	instantiation	12, 13, 14	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
9	instantiation	15	⊢
	: , : , :
10	instantiation	17, 16	⊢
	:
11	instantiation	17, 18	⊢
	:
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	19, 38, 59, 39, 40, 20, 23, 43, 21	⊢
	: , : , : , : , : , :
14	instantiation	22, 43, 23, 24	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	instantiation	25, 59	⊢
	:
17	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
18	instantiation	26, 27	⊢
	: , :
19	theorem		⊢
	proveit.numbers.addition.disassociation
20	instantiation	46	⊢
	: , :
21	instantiation	57, 49, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
23	instantiation	57, 49, 29	⊢
	: , : , :
24	instantiation	30	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
26	theorem		⊢
	proveit.numbers.ordering.relax_less
27	instantiation	31, 54	⊢
	:
28	instantiation	32, 48	⊢
	:
29	instantiation	33, 34, 35	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_reflexivity
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
32	theorem		⊢
	proveit.numbers.negation.real_closure
33	theorem		⊢
	proveit.logic.equality.sub_right_side_into
34	instantiation	45, 36, 50	⊢
	: , :
35	instantiation	37, 38, 59, 39, 40, 41, 42, 43, 44	⊢
	: , : , : , : , : , :
36	instantiation	45, 47, 48	⊢
	: , :
37	theorem		⊢
	proveit.numbers.multiplication.disassociation
38	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
41	instantiation	46	⊢
	: , :
42	instantiation	57, 49, 47	⊢
	: , : , :
43	instantiation	57, 49, 48	⊢
	: , : , :
44	instantiation	57, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
47	instantiation	57, 51, 52	⊢
	: , : , :
48	instantiation	57, 53, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	57, 55, 56	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	instantiation	57, 58, 59	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements