Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7^*	, , , , ⊢
	: , : , :
1	axiom		⊢
	proveit.numbers.ordering.max_def_multi
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
3	instantiation	37	⊢
	: , :
4	reference	46	⊢
5	reference	45	⊢
6	reference	42	⊢
7	instantiation	21, 8, 9	, , , , ⊢
	: , : , :
8	instantiation	35, 10	, , ⊢
	: , : , :
9	instantiation	21, 11, 12	, , ⊢
	: , : , :
10	instantiation	15, 46, 45, 13^*	, , ⊢
	: , :
11	instantiation	14, 46, 42	, ⊢
	: , :
12	instantiation	15, 42, 46, 16^*	, , ⊢
	: , :
13	instantiation	21, 17, 18	, , ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.ordering.max_bin_args_commute
15	axiom		⊢
	proveit.numbers.ordering.max_def_bin
16	instantiation	21, 19, 20	, , ⊢
	: , : , :
17	instantiation	21, 22, 23	, , ⊢
	: , : , :
18	instantiation	30, 31, 32, 33	⊢
	: , : , : , : , :
19	instantiation	24, 25, 26, 27, 28, 29	, , ⊢
	: , : , : , :
20	instantiation	30, 31, 32, 33	⊢
	: , : , : , : , :
21	axiom		⊢
	proveit.logic.equality.equals_transitivity
22	instantiation	35, 34	⊢
	: , : , :
23	instantiation	35, 36	, , ⊢
	: , : , :
24	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	instantiation	37	⊢
	: , :
27	instantiation	37	⊢
	: , :
28	instantiation	39, 43	⊢
	: , :
29	instantiation	40, 38	, , ⊢
	: , :
30	axiom		⊢
	proveit.core_expr_types.conditionals.true_case_reduction
31	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
34	instantiation	39, 47	⊢
	: , :
35	axiom		⊢
	proveit.logic.equality.substitution
36	instantiation	40, 41	, , ⊢
	: , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	instantiation	44, 46, 42, 43	, , ⊢
	: , :
39	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
40	theorem		⊢
	proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
41	instantiation	44, 45, 46, 47	, , ⊢
	: , :
42	assumption		⊢
43	instantiation	48, 49	⊢
	: , :
44	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
45	assumption		⊢
46	assumption		⊢
47	assumption		⊢
48	theorem		⊢
	proveit.numbers.ordering.relax_less
49	assumption		⊢
^*equality replacement requirements