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