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^*	, , ⊢
	: , : , : , : , : , :
1	reference	25	⊢
2	reference	27	⊢
3	reference	50	⊢
4	reference	26	⊢
5	instantiation	37	⊢
	: , :
6	instantiation	34	⊢
	: , : , :
7	reference	28	⊢
8	instantiation	14, 12, 13	⊢
	: , :
9	instantiation	14, 15, 16	⊢
	: , :
10	reference	36	⊢
11	instantiation	17, 18, 19^*	⊢
	: , :
12	instantiation	53, 38, 20	⊢
	: , : , :
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
15	instantiation	53, 38, 21	⊢
	: , : , :
16	assumption		⊢
17	theorem		⊢
	proveit.logic.equality.equals_reversal
18	instantiation	22, 26, 50, 55, 28, 23, 30, 36, 24^*	⊢
	: , : , : , : , : , :
19	instantiation	25, 26, 27, 55, 28, 29, 30, 31^*	⊢
	: , : , : , : , : , :
20	instantiation	53, 45, 32	⊢
	: , : , :
21	instantiation	53, 45, 33	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
23	instantiation	34	⊢
	: , : , :
24	instantiation	35, 36	⊢
	:
25	theorem		⊢
	proveit.numbers.addition.association
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29	instantiation	37	⊢
	: , :
30	instantiation	53, 38, 39	⊢
	: , : , :
31	instantiation	40, 41, 42	⊢
	: , : , :
32	instantiation	53, 51, 43	⊢
	: , : , :
33	instantiation	53, 51, 44	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
35	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	53, 45, 46	⊢
	: , : , :
40	axiom		⊢
	proveit.logic.equality.equals_transitivity
41	instantiation	47, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
43	instantiation	53, 54, 49	⊢
	: , : , :
44	instantiation	53, 54, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	53, 51, 52	⊢
	: , : , :
47	axiom		⊢
	proveit.logic.equality.substitution
48	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	53, 54, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements