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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 28, 4, 5, 6, 7, 8, 9, 10, 11, 12^*	, ⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.addition.association
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	13	⊢
	: , :
6	instantiation	13	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	29, 17, 14	⊢
	: , : , :
9	instantiation	29, 17, 15	⊢
	: , : , :
10	instantiation	29, 17, 16	⊢
	: , : , :
11	instantiation	29, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	instantiation	29, 20, 19	⊢
	: , : , :
15	instantiation	29, 20, 21	⊢
	: , : , :
16	instantiation	29, 23, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	29, 23, 24	⊢
	: , : , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
21	assumption		⊢
22	instantiation	29, 26, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	29, 26, 27	⊢
	: , : , :
25	instantiation	29, 30, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	29, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements