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	22, 5	⊢
	: , : , :
3	instantiation	22, 6	⊢
	: , : , :
4	instantiation	22, 7	⊢
	: , : , :
5	instantiation	22, 14	⊢
	: , : , :
6	instantiation	16, 8, 9	⊢
	: , : , :
7	instantiation	22, 14	⊢
	: , : , :
8	instantiation	16, 10, 11	⊢
	: , : , :
9	instantiation	12, 13*	⊢
	: , :
10	instantiation	22, 14	⊢
	: , : , :
11	instantiation	22, 15	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.equality.not_equals_def
13	instantiation	16, 17, 18	⊢
	: , : , :
14	assumption		⊢
15	instantiation	19, 20, 21	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	22, 23	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.booleans.negation.not_f
19	theorem		⊢
	proveit.logic.equality.sub_right_side_into
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
21	instantiation	24, 25, 26	⊢
	: , :
22	axiom		⊢
	proveit.logic.equality.substitution
23	instantiation	27, 28	⊢
	:
24	theorem		⊢
	proveit.numbers.addition.commutation
25	instantiation	47, 30, 29	⊢
	: , : , :
26	instantiation	47, 30, 31	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
28	instantiation	32, 33	⊢
	: , :
29	instantiation	47, 35, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	47, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.equality.unfold_not_equals
33	instantiation	37, 38	⊢
	: , :
34	instantiation	47, 40, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	47, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
38	instantiation	42, 43, 44, 45	⊢
	: , :
39	instantiation	47, 48, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	47, 48, 49	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
45	theorem		⊢
	proveit.numbers.numerals.decimals.less_4_5
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
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
*equality replacement requirements