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, 33, 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	assumption		⊢
14	instantiation	35, 23, 21	⊢
	: , : , :
15	instantiation	35, 23, 22	⊢
	: , : , :
16	assumption		⊢
17	assumption		⊢
18	instantiation	35, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
21	instantiation	35, 27, 25	⊢
	: , : , :
22	instantiation	35, 27, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	35, 27, 28	⊢
	: , : , :
25	instantiation	35, 31, 29	⊢
	: , : , :
26	instantiation	35, 31, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	35, 31, 32	⊢
	: , : , :
29	instantiation	35, 36, 33	⊢
	: , : , :
30	instantiation	35, 36, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	35, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat3