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	26	⊢
2	instantiation	33, 4	⊢
	: , : , :
3	instantiation	14, 15, 29, 16, 5, 6, 7, 19, 8^*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
5	instantiation	22	⊢
	: , :
6	instantiation	22	⊢
	: , :
7	instantiation	39, 24, 9	⊢
	: , : , :
8	instantiation	26, 10, 11	⊢
	: , : , :
9	instantiation	39, 31, 12	⊢
	: , : , :
10	instantiation	33, 13	⊢
	: , : , :
11	instantiation	14, 15, 29, 41, 16, 17, 18, 19, 20^*	⊢
	: , : , : , : , : , :
12	instantiation	39, 36, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
14	theorem		⊢
	proveit.numbers.addition.association
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	22	⊢
	: , :
18	instantiation	39, 24, 23	⊢
	: , : , :
19	instantiation	39, 24, 25	⊢
	: , : , :
20	instantiation	26, 27, 28	⊢
	: , : , :
21	instantiation	39, 40, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	instantiation	39, 31, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	39, 31, 32	⊢
	: , : , :
26	axiom		⊢
	proveit.logic.equality.equals_transitivity
27	instantiation	33, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	instantiation	39, 36, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	39, 36, 37	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.substitution
34	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
35	instantiation	39, 40, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements