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^*	, , ⊢
	: , : , : , : , : , :
1	reference	20	⊢
2	reference	47	⊢
3	reference	51	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
5	instantiation	14	⊢
	: , : , :
6	instantiation	15	⊢
	: , : , : , : , :
7	instantiation	16, 25, 17	⊢
	: , :
8	reference	24	⊢
9	reference	25	⊢
10	reference	26	⊢
11	instantiation	49, 32, 18	⊢
	: , : , :
12	instantiation	49, 32, 19	⊢
	: , : , :
13	instantiation	20, 21, 48, 47, 22, 23, 24, 25, 26, 27^*	⊢
	: , : , : , : , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
16	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
17	instantiation	49, 32, 28	⊢
	: , : , :
18	assumption		⊢
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.addition.association
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	29	⊢
	: , :
24	instantiation	49, 32, 30	⊢
	: , : , :
25	instantiation	49, 32, 31	⊢
	: , : , :
26	instantiation	49, 32, 33	⊢
	: , : , :
27	instantiation	34, 35, 36	⊢
	: , : , :
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	instantiation	49, 39, 37	⊢
	: , : , :
31	instantiation	49, 39, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	49, 39, 40	⊢
	: , : , :
34	axiom		⊢
	proveit.logic.equality.equals_transitivity
35	instantiation	41, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_3
37	instantiation	49, 45, 43	⊢
	: , : , :
38	instantiation	49, 45, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	49, 45, 46	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.substitution
42	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
43	instantiation	49, 50, 47	⊢
	: , : , :
44	instantiation	49, 50, 48	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	49, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements