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	theorem		⊢
	proveit.numbers.addition.association
2	reference	38	⊢
3	reference	18	⊢
4	instantiation	25	⊢
	: , :
5	instantiation	25	⊢
	: , :
6	reference	20	⊢
7	reference	23	⊢
8	instantiation	13, 23, 12	⊢
	: , :
9	instantiation	13, 22, 24	⊢
	: , :
10	instantiation	13, 23, 24	⊢
	: , :
11	instantiation	14, 15, 16^*	⊢
	: , :
12	assumption		⊢
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	theorem		⊢
	proveit.logic.equality.equals_reversal
15	instantiation	17, 18, 38, 19, 20, 21, 22, 23, 24	⊢
	: , : , : , : , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
17	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	25	⊢
	: , :
22	instantiation	36, 27, 26	⊢
	: , : , :
23	instantiation	36, 27, 28	⊢
	: , : , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	36, 30, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	36, 30, 31	⊢
	: , : , :
29	instantiation	36, 33, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	36, 33, 34	⊢
	: , : , :
32	instantiation	36, 37, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	36, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements