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.numbers.ordering.less_is_not_eq_int
2	instantiation	41, 5, 27	⊢
	: , : , :
3	reference	21	⊢
4	instantiation	6, 7, 8, 9, 10, 11, 12*	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
6	theorem		⊢
	proveit.numbers.ordering.less_add_left
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
8	instantiation	41, 37, 13	⊢
	: , : , :
9	instantiation	14, 35	⊢
	:
10	instantiation	15, 16	⊢
	:
11	instantiation	17, 18	⊢
	: , :
12	instantiation	19, 20	⊢
	:
13	instantiation	41, 39, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.real_closure
15	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
16	instantiation	22, 43, 23, 24, 36, 25	⊢
	: , : , : , : , :
17	theorem		⊢
	proveit.numbers.ordering.relax_less
18	instantiation	26, 27	⊢
	:
19	theorem		⊢
	proveit.numbers.addition.elim_zero_left
20	instantiation	28, 29	⊢
	:
21	instantiation	30, 31, 40	⊢
	: , :
22	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
23	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
26	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
27	instantiation	32, 33	⊢
	:
28	theorem		⊢
	proveit.numbers.negation.complex_closure
29	instantiation	41, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
31	instantiation	41, 42, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.negation.int_neg_closure
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	41, 37, 38	⊢
	: , : , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	41, 39, 40	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	41, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements