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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	6, 36, 7, 4, 5, 13, 14, 15, 16, 17, 18	, , ⊢
	: , : , : , : , : , : , :
3	instantiation	6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18	, , ⊢
	: , : , : , : , : , : , :
4	instantiation	19	⊢
	: , : , : , :
5	instantiation	19	⊢
	: , : , : , :
6	theorem		⊢
	proveit.numbers.addition.leftward_commutation
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	instantiation	19	⊢
	: , : , : , :
11	instantiation	20	⊢
	: , : , : , : , :
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	38, 26, 21	⊢
	: , : , :
14	instantiation	38, 26, 22	⊢
	: , : , :
15	instantiation	38, 26, 23	⊢
	: , : , :
16	instantiation	38, 26, 24	⊢
	: , : , :
17	instantiation	38, 26, 25	⊢
	: , : , :
18	instantiation	38, 26, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
21	assumption		⊢
22	instantiation	38, 30, 28	⊢
	: , : , :
23	instantiation	38, 30, 29	⊢
	: , : , :
24	assumption		⊢
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	38, 30, 31	⊢
	: , : , :
28	instantiation	38, 34, 32	⊢
	: , : , :
29	instantiation	38, 34, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	38, 34, 35	⊢
	: , : , :
32	instantiation	38, 39, 36	⊢
	: , : , :
33	instantiation	38, 39, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	38, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat3