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