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