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	5	⊢
2	instantiation	12, 4	, ⊢
	: , : , :
3	instantiation	5, 6, 7	, ⊢
	: , : , :
4	instantiation	18, 38, 19, 21, 8, 20, 22, 23, 9, 10, 11^*	, ⊢
	: , : , : , : , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	12, 13	, ⊢
	: , : , :
7	instantiation	14, 15, 40	, ⊢
	: , :
8	instantiation	28	⊢
	: , :
9	instantiation	41, 31, 16	⊢
	: , : , :
10	instantiation	41, 31, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	18, 19, 38, 37, 20, 21, 22, 23, 24	, ⊢
	: , : , : , : , : , :
14	theorem		⊢
	proveit.numbers.rounding.round_of_real_plus_int
15	instantiation	25, 29, 30	, ⊢
	: , :
16	instantiation	41, 35, 26	⊢
	: , : , :
17	instantiation	41, 35, 27	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.association
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	28	⊢
	: , :
22	instantiation	41, 31, 29	⊢
	: , : , :
23	instantiation	41, 31, 30	⊢
	: , : , :
24	instantiation	41, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
26	instantiation	41, 39, 33	⊢
	: , : , :
27	instantiation	41, 39, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	assumption		⊢
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	41, 35, 36	⊢
	: , : , :
33	instantiation	41, 42, 37	⊢
	: , : , :
34	instantiation	41, 42, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	41, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	41, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements