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	4	⊢
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	10, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.equality.sub_left_side_into
5	deduction	9	⊢
6	instantiation	10, 26, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
8	instantiation	12	⊢
	: , : , : , : , :
9	instantiation	15, 13, 14	⊢
	: , : , :
10	axiom		⊢
	proveit.logic.sets.enumeration.enum_set_def
11	instantiation	36	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
13	instantiation	15, 16, 17	⊢
	: , : , :
14	instantiation	21, 26, 30, 33, 18, 35, 22, 44, 23, 24, 45	⊢
	: , : , : , : , : , : , :
15	theorem		⊢
	proveit.logic.equality.sub_right_side_into
16	instantiation	25, 26, 32, 33, 27, 19, 35, 20	⊢
	: , : , : , : , : , :
17	instantiation	21, 30, 32, 29, 22, 23, 24, 44, 45	⊢
	: , : , : , : , : , : , :
18	instantiation	36	⊢
	: , : , :
19	instantiation	40	⊢
	: , :
20	instantiation	25, 33, 26, 30, 35, 27, 28	⊢
	: , : , : , : , : , :
21	theorem		⊢
	proveit.logic.booleans.disjunction.leftward_commutation
22	instantiation	31, 33, 32, 35, 29, 38	⊢
	: , : , : , : , :
23	instantiation	31, 30, 38	⊢
	: , : , : , : , :
24	instantiation	31, 32, 33, 34, 35, 38	⊢
	: , : , : , : , :
25	theorem		⊢
	proveit.logic.booleans.disjunction.disassociate
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
27	instantiation	36	⊢
	: , : , :
28	instantiation	37, 38, 39, 42	⊢
	: , :
29	instantiation	40	⊢
	: , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.logic.booleans.disjunction.each_is_bool
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
34	instantiation	40	⊢
	: , :
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
37	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_left
38	instantiation	41, 42	⊢
	:
39	instantiation	43, 44, 45	⊢
	: , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
41	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
42	assumption		⊢
43	theorem		⊢
	proveit.logic.booleans.disjunction.binary_closure
44	instantiation	46	⊢
	: , :
45	instantiation	46	⊢
	: , :
46	axiom		⊢
	proveit.logic.equality.equality_in_bool