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	, , , , ⊢
	: , : , :
1	reference	8	⊢
2	instantiation	35, 27, 4	, , , , ⊢
	: , :
3	instantiation	5, 6, 7	, , , , ⊢
	: , : , :
4	instantiation	8, 9, 10	, , ⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	18, 21, 12, 19, 14, 22, 11, 24, 25, 26	, , , , ⊢
	: , : , : , : , : , :
7	instantiation	18, 19, 20, 12, 22, 13, 14, 15, 16, 24, 25, 26	, , , , ⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.logic.equality.sub_right_side_into
9	instantiation	35, 17, 34	, , ⊢
	: , :
10	instantiation	18, 19, 20, 21, 22, 23, 24, 25, 26	, , ⊢
	: , : , : , : , : , :
11	instantiation	32, 33, 27	, ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	instantiation	29	⊢
	: , :
14	instantiation	28	⊢
	: , : , :
15	instantiation	32, 33, 36	⊢
	: , : , :
16	instantiation	32, 33, 37	⊢
	: , : , :
17	instantiation	35, 30, 31	, ⊢
	: , :
18	theorem		⊢
	proveit.numbers.multiplication.disassociation
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	29	⊢
	: , :
24	instantiation	32, 33, 30	⊢
	: , : , :
25	instantiation	32, 33, 31	⊢
	: , : , :
26	instantiation	32, 33, 34	⊢
	: , : , :
27	instantiation	35, 36, 37	, ⊢
	: , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	assumption		⊢
31	assumption		⊢
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
36	assumption		⊢
37	assumption		⊢