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, 5*	⊢
	: , : , : , :
1	axiom		⊢
	proveit.numbers.summation.sum_split_last
2	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
3	instantiation	6, 7, 39	⊢
	: , :
4	instantiation	8, 9	⊢
	:
5	instantiation	10, 11, 12	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
7	instantiation	40, 41, 33	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
9	instantiation	13, 42, 16, 18, 33, 14	⊢
	: , : , : , : , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	15, 16, 17, 42, 18, 19, 22, 26, 20	⊢
	: , : , : , : , : , :
12	instantiation	21, 26, 22, 23	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
14	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
15	theorem		⊢
	proveit.numbers.addition.disassociation
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	24	⊢
	: , :
20	instantiation	25, 26	⊢
	:
21	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
22	instantiation	40, 29, 27	⊢
	: , : , :
23	instantiation	28	⊢
	:
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.numbers.negation.complex_closure
26	instantiation	40, 29, 30	⊢
	: , : , :
27	instantiation	31, 32, 33	⊢
	: , : , :
28	axiom		⊢
	proveit.logic.equality.equals_reflexivity
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	40, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
32	instantiation	36, 37	⊢
	: , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	40, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements