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, 9, 5, 34, 11, 6, 12, 13, 7, 16	,  ⊢
	: , : , : , : , : , :
3	instantiation	8, 44, 9, 10, 11, 12, 13, 16	,  ⊢
	: , : , : , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	14	⊢
	: , : , :
7	instantiation	15, 16	⊢
	:
8	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	instantiation	17	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	45, 20, 18	,  ⊢
	: , : , :
13	instantiation	45, 20, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	45, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	instantiation	45, 25, 22	,  ⊢
	: , : , :
19	instantiation	23, 24, 47	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	45, 25, 26	⊢
	: , : , :
22	instantiation	45, 30, 27	,  ⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
24	instantiation	28, 29	⊢
	: , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	45, 30, 31	⊢
	: , : , :
27	instantiation	45, 32, 33	,  ⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	45, 43, 34	⊢
	: , : , :
32	instantiation	35, 36, 37	⊢
	: , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
36	instantiation	38, 39, 40	⊢
	: , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	41, 42	⊢
	:
40	instantiation	45, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	instantiation	45, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
47	assumption		⊢