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	49	⊢
3	reference	48	⊢
4	reference	29	⊢
5	instantiation	13	⊢
	: , : , :
6	instantiation	37	⊢
	: , :
7	reference	30	⊢
8	instantiation	17, 14, 15	⊢
	: , :
9	instantiation	52, 46, 16	⊢
	: , : , :
10	instantiation	17, 18, 19	⊢
	: , :
11	reference	40	⊢
12	instantiation	20, 21, 22^*	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	instantiation	52, 46, 23	⊢
	: , : , :
15	instantiation	52, 46, 24	⊢
	: , : , :
16	instantiation	52, 44, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
18	instantiation	52, 46, 26	⊢
	: , : , :
19	instantiation	52, 46, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.equality.equals_reversal
21	instantiation	28, 29, 48, 54, 30, 31, 32, 40, 33^*	⊢
	: , : , : , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
23	instantiation	52, 44, 34	⊢
	: , : , :
24	assumption		⊢
25	instantiation	52, 50, 35	⊢
	: , : , :
26	instantiation	52, 44, 36	⊢
	: , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
29	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	instantiation	37	⊢
	: , :
32	instantiation	52, 46, 38	⊢
	: , : , :
33	instantiation	39, 40	⊢
	:
34	instantiation	52, 50, 41	⊢
	: , : , :
35	instantiation	52, 53, 42	⊢
	: , : , :
36	instantiation	52, 50, 43	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	instantiation	52, 44, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
40	instantiation	52, 46, 47	⊢
	: , : , :
41	instantiation	52, 53, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
43	instantiation	52, 53, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	52, 50, 51	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	assumption		⊢
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements