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	17	⊢
2	instantiation	3, 4, 5, 6, 7, 8	⊢
	: , : , :
3	theorem		⊢
	proveit.core_expr_types.tuples.tuple_eq_via_elem_eq
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
5	instantiation	31	⊢
	: , :
6	instantiation	31	⊢
	: , :
7	instantiation	17, 9	⊢
	: , : , :
8	instantiation	35	⊢
	:
9	modus ponens	10, 11	⊢
10	instantiation	12, 13	⊢
	: , : , : , : , : , :
11	generalization	14	⊢
12	axiom		⊢
	proveit.core_expr_types.lambda_maps.lambda_substitution
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
14	instantiation	17, 15	⊢
	: , : , :
15	instantiation	17, 16	⊢
	: , : , :
16	instantiation	17, 18	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.substitution
18	instantiation	19, 20, 21	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	22, 23, 24, 49, 25, 26, 29, 33, 27	⊢
	: , : , : , : , : , :
21	instantiation	28, 33, 29, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.disassociation
23	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	31	⊢
	: , :
27	instantiation	32, 33	⊢
	:
28	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
29	instantiation	47, 36, 34	⊢
	: , : , :
30	instantiation	35	⊢
	:
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.numbers.negation.complex_closure
33	instantiation	47, 36, 37	⊢
	: , : , :
34	instantiation	38, 39, 40	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_reflexivity
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	47, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
39	instantiation	43, 44	⊢
	: , :
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	47, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	47, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1