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