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	11, 3, 4	⊢
	: , : , :
3	instantiation	11, 5, 6	⊢
	: , : , :
4	instantiation	7, 8*	⊢
	: , :
5	instantiation	17, 9	⊢
	: , : , :
6	instantiation	17, 10	⊢
	: , : , :
7	axiom		⊢
	proveit.logic.equality.not_equals_def
8	instantiation	11, 12, 13	⊢
	: , : , :
9	assumption		⊢
10	instantiation	14, 15, 16	⊢
	: , : , :
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	17, 18	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.booleans.negation.not_f
14	theorem		⊢
	proveit.logic.equality.sub_right_side_into
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
16	instantiation	19, 20, 21	⊢
	: , :
17	axiom		⊢
	proveit.logic.equality.substitution
18	instantiation	22, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.addition.commutation
20	instantiation	42, 25, 24	⊢
	: , : , :
21	instantiation	42, 25, 26	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
23	instantiation	27, 28	⊢
	: , :
24	instantiation	42, 30, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	42, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.unfold_not_equals
28	instantiation	32, 33	⊢
	: , :
29	instantiation	42, 35, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	42, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
33	instantiation	37, 38, 39, 40	⊢
	: , :
34	instantiation	42, 43, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	42, 43, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
40	theorem		⊢
	proveit.numbers.numerals.decimals.less_4_5
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements