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	modus ponens	1, 2	⊢
1	instantiation	3, 36, 4, 5	⊢
	: , : , : , :
2	assumption		⊢
3	theorem		⊢
	proveit.logic.booleans.conjunction.conjunction_from_quantification
4	instantiation	37, 38, 6	⊢
	: , : , :
5	instantiation	7, 32, 8, 9, 10, 11*, 12*	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
7	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
9	instantiation	37, 33, 13	⊢
	: , : , :
10	instantiation	14, 30	⊢
	:
11	instantiation	15, 16, 17	⊢
	: , : , :
12	instantiation	18, 19, 20, 21	⊢
	: , : , : , :
13	instantiation	37, 35, 22	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
15	theorem		⊢
	proveit.logic.equality.sub_right_side_into
16	instantiation	23, 25	⊢
	:
17	instantiation	24, 25, 26	⊢
	: , :
18	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
20	instantiation	27	⊢
	:
21	instantiation	28, 29	⊢
	: , :
22	instantiation	37, 38, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.elim_zero_right
24	theorem		⊢
	proveit.numbers.addition.commutation
25	instantiation	37, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
27	axiom		⊢
	proveit.logic.equality.equals_reflexivity
28	theorem		⊢
	proveit.logic.equality.equals_reversal
29	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	37, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	37, 35, 36	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements