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