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