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^*	, , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	46	⊢
3	reference	45	⊢
4	reference	27	⊢
5	instantiation	13	⊢
	: , : , :
6	instantiation	35	⊢
	: , :
7	reference	28	⊢
8	instantiation	17, 14, 15	⊢
	: , :
9	instantiation	49, 36, 16	⊢
	: , : , :
10	instantiation	17, 18, 19	⊢
	: , :
11	reference	39	⊢
12	instantiation	20, 21, 22^*	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	instantiation	49, 36, 23	⊢
	: , : , :
15	assumption		⊢
16	instantiation	49, 43, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
18	instantiation	49, 36, 25	⊢
	: , : , :
19	assumption		⊢
20	theorem		⊢
	proveit.logic.equality.equals_reversal
21	instantiation	26, 27, 45, 51, 28, 29, 30, 39, 31^*	⊢
	: , : , : , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
23	instantiation	49, 43, 32	⊢
	: , : , :
24	instantiation	49, 47, 33	⊢
	: , : , :
25	instantiation	49, 43, 34	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29	instantiation	35	⊢
	: , :
30	instantiation	49, 36, 37	⊢
	: , : , :
31	instantiation	38, 39	⊢
	:
32	instantiation	49, 47, 40	⊢
	: , : , :
33	instantiation	49, 50, 41	⊢
	: , : , :
34	instantiation	49, 47, 42	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	49, 43, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
39	assumption		⊢
40	instantiation	49, 50, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
42	instantiation	49, 50, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	49, 47, 48	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	49, 50, 51	⊢
	: , : , :
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.nat1
^*equality replacement requirements