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, 8, 9, 10, 11, 12, 13, 14, 15, 16^*	, , , , , ⊢
	: , : , : , : , : , :
1	reference	19	⊢
2	reference	20	⊢
3	reference	45	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
5	reference	22	⊢
6	instantiation	17	⊢
	: , : , :
7	instantiation	18	⊢
	: , : , : , : , : , : , :
8	reference	24	⊢
9	reference	25	⊢
10	assumption		⊢
11	assumption		⊢
12	assumption		⊢
13	assumption		⊢
14	assumption		⊢
15	assumption		⊢
16	instantiation	19, 20, 21, 42, 22, 23, 24, 25, 26^*	⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_7_typical_eq
19	theorem		⊢
	proveit.numbers.addition.association
20	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	27	⊢
	: , :
24	instantiation	43, 29, 28	⊢
	: , : , :
25	instantiation	43, 29, 30	⊢
	: , : , :
26	instantiation	31, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	instantiation	43, 35, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	43, 35, 36	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.equals_transitivity
32	instantiation	37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
34	instantiation	43, 40, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	43, 40, 41	⊢
	: , : , :
37	axiom		⊢
	proveit.logic.equality.substitution
38	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
39	instantiation	43, 44, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	43, 44, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements