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