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	34	⊢
2	instantiation	3, 4, 5, 45, 44, 41, 6*	, , , ,  ⊢
	: , : , :
3	axiom		⊢
	proveit.numbers.ordering.max_def_multi
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
5	instantiation	36	⊢
	: , :
6	instantiation	20, 7, 8	, , , ,  ⊢
	: , : , :
7	instantiation	34, 9	, ,  ⊢
	: , : , :
8	instantiation	20, 10, 11	, ,  ⊢
	: , : , :
9	instantiation	14, 45, 44, 12*	, ,  ⊢
	: , :
10	instantiation	13, 45, 41	,  ⊢
	: , :
11	instantiation	14, 41, 45, 15*	, ,  ⊢
	: , :
12	instantiation	20, 16, 17	, ,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.ordering.max_bin_args_commute
14	axiom		⊢
	proveit.numbers.ordering.max_def_bin
15	instantiation	20, 18, 19	, ,  ⊢
	: , : , :
16	instantiation	20, 21, 22	, ,  ⊢
	: , : , :
17	instantiation	29, 30, 31, 32	⊢
	: , : , : , : , :
18	instantiation	23, 24, 25, 26, 27, 28	, ,  ⊢
	: , : , : , :
19	instantiation	29, 30, 31, 32	⊢
	: , : , : , : , :
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	34, 33	⊢
	: , : , :
22	instantiation	34, 35	, ,  ⊢
	: , : , :
23	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	instantiation	36	⊢
	: , :
26	instantiation	36	⊢
	: , :
27	instantiation	38, 42	⊢
	: , :
28	instantiation	39, 37	, ,  ⊢
	: , :
29	axiom		⊢
	proveit.core_expr_types.conditionals.true_case_reduction
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
33	instantiation	38, 46	⊢
	: , :
34	axiom		⊢
	proveit.logic.equality.substitution
35	instantiation	39, 40	, ,  ⊢
	: , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
37	instantiation	43, 45, 41, 42	, ,  ⊢
	: , :
38	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
39	theorem		⊢
	proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
40	instantiation	43, 44, 45, 46	, ,  ⊢
	: , :
41	assumption		⊢
42	instantiation	47, 48	⊢
	: , :
43	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
44	assumption		⊢
45	assumption		⊢
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.ordering.relax_less
48	assumption		⊢
*equality replacement requirements