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, 7, 8, 9	⊢
	: , : , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	theorem		⊢
	proveit.numbers.negation.negated_zero
6	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
7	instantiation	10, 17, 16, 19, 14, 11, 20, 21, 12	⊢
	: , : , : , : , : , :
8	instantiation	13, 16, 38, 14, 20, 21	⊢
	: , : , : , :
9	instantiation	15, 38, 16, 17, 18, 19, 20, 21, 22*	⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.addition.disassociation
11	instantiation	23	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
13	theorem		⊢
	proveit.numbers.addition.elim_zero_any
14	instantiation	23	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.association
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	instantiation	23	⊢
	: , :
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	36, 25, 24	⊢
	: , : , :
21	instantiation	36, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	27, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	36, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	32, 33	⊢
	: , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	36, 34, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements