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, 4	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 42, 47, 6, 7, 15, 30, 29	⊢
	: , : , : , : , : , :
3	instantiation	8, 12, 9, 14, 10, 15, 30, 29	⊢
	: , : , : , :
4	instantiation	11, 42, 47, 12, 13, 14, 15, 30, 29, 16*	⊢
	: , : , : , : , : , :
5	theorem		⊢
	proveit.numbers.addition.disassociation
6	instantiation	18	⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
8	theorem		⊢
	proveit.numbers.addition.elim_zero_any
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	instantiation	17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.association
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	instantiation	18	⊢
	: , :
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	45, 37, 19	⊢
	: , : , :
16	instantiation	20, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	23, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.equality.sub_right_side_into
21	instantiation	26, 29, 35, 27	⊢
	: , : , :
22	instantiation	28, 29, 30	⊢
	: , :
23	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
24	instantiation	31, 32	⊢
	: , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
28	theorem		⊢
	proveit.numbers.addition.commutation
29	instantiation	45, 37, 33	⊢
	: , : , :
30	instantiation	34, 35	⊢
	:
31	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
33	instantiation	45, 40, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.complex_closure
35	instantiation	45, 37, 38	⊢
	: , : , :
36	instantiation	45, 43, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	45, 40, 41	⊢
	: , : , :
39	instantiation	45, 46, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	45, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements