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	18, 5	⊢
	: , : , :
3	instantiation	18, 6	⊢
	: , : , :
4	instantiation	18, 7	⊢
	: , : , :
5	instantiation	12, 8, 9	⊢
	: , : , :
6	instantiation	12, 10, 11	⊢
	: , : , :
7	instantiation	12, 13, 14	⊢
	: , : , :
8	instantiation	18, 19	⊢
	: , : , :
9	instantiation	20, 15	⊢
	:
10	instantiation	18, 16	⊢
	: , : , :
11	instantiation	17, 19	⊢
	:
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	18, 19	⊢
	: , : , :
14	instantiation	20, 21	⊢
	:
15	instantiation	24, 22	⊢
	: , :
16	instantiation	43, 39, 23	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.booleans.eq_true_intro
18	axiom		⊢
	proveit.logic.equality.substitution
19	assumption		⊢
20	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
21	instantiation	24, 25	⊢
	: , :
22	instantiation	28, 26	⊢
	: , :
23	instantiation	48, 27, 49	⊢
	: , :
24	theorem		⊢
	proveit.logic.equality.unfold_not_equals
25	instantiation	28, 29	⊢
	: , :
26	instantiation	31, 60, 32, 30	⊢
	: , :
27	instantiation	58, 52, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
29	instantiation	31, 51, 32, 33	⊢
	: , :
30	instantiation	34, 53, 35, 36, 37, 38*, 39*	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
33	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
34	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
36	instantiation	58, 54, 40	⊢
	: , : , :
37	instantiation	41, 42	⊢
	:
38	instantiation	43, 44, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
40	instantiation	58, 56, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
43	theorem		⊢
	proveit.logic.equality.sub_right_side_into
44	instantiation	47, 49	⊢
	:
45	instantiation	48, 49, 50	⊢
	: , :
46	instantiation	58, 59, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.addition.elim_zero_right
48	theorem		⊢
	proveit.numbers.addition.commutation
49	instantiation	58, 52, 53	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
53	instantiation	58, 54, 55	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
55	instantiation	58, 56, 57	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	58, 59, 60	⊢
	: , : , :
58	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
60	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements