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, 8, 9, 10, 11	, ⊢
	: , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
3	reference	30	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	12	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	28, 19, 13	⊢
	: , : , :
8	instantiation	14, 15	⊢
	:
9	instantiation	28, 19, 16	⊢
	: , : , :
10	reference	15	⊢
11	instantiation	17	⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	28, 23, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	28, 19, 20	⊢
	: , : , :
16	instantiation	28, 23, 21	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	instantiation	28, 26, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	28, 23, 24	⊢
	: , : , :
21	instantiation	28, 26, 25	⊢
	: , : , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	28, 26, 27	⊢
	: , : , :
25	instantiation	28, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	assumption		⊢
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.nat1