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	reference	20	⊢
2	reference	49	⊢
3	reference	50	⊢
4	reference	53	⊢
5	instantiation	28	⊢
	: , : , :
6	instantiation	31	⊢
	: , :
7	reference	26	⊢
8	reference	30	⊢
9	instantiation	13, 25, 30	⊢
	: , :
10	instantiation	13, 26, 30	⊢
	: , :
11	assumption		⊢
12	instantiation	14, 15, 16^*	⊢
	: , :
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	theorem		⊢
	proveit.logic.equality.equals_reversal
15	instantiation	17, 21, 50, 49, 22, 18, 24, 25, 26, 30, 19^*	⊢
	: , : , : , : , : , :
16	instantiation	20, 21, 53, 49, 22, 23, 24, 25, 26, 27^*	⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
18	instantiation	28	⊢
	: , : , :
19	instantiation	29, 30	⊢
	:
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	31	⊢
	: , :
24	instantiation	51, 34, 32	⊢
	: , : , :
25	instantiation	51, 34, 33	⊢
	: , : , :
26	instantiation	51, 34, 35	⊢
	: , : , :
27	instantiation	36, 37, 38	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
29	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	instantiation	51, 41, 39	⊢
	: , : , :
33	instantiation	51, 41, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	51, 41, 42	⊢
	: , : , :
36	axiom		⊢
	proveit.logic.equality.equals_transitivity
37	instantiation	43, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_2
39	instantiation	51, 47, 45	⊢
	: , : , :
40	instantiation	51, 47, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	51, 47, 48	⊢
	: , : , :
43	axiom		⊢
	proveit.logic.equality.substitution
44	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
45	instantiation	51, 52, 49	⊢
	: , : , :
46	instantiation	51, 52, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	51, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements