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	17	⊢
2	instantiation	22, 4	⊢
	: , : , :
3	instantiation	5, 6, 34, 7, 8, 9, 14, 10, 11, 12^*	⊢
	: , : , : , : , : , :
4	instantiation	13, 14	⊢
	:
5	theorem		⊢
	proveit.numbers.addition.association
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	15	⊢
	: , :
10	instantiation	37, 28, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
12	instantiation	17, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.elim_zero_left
14	instantiation	37, 28, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	37, 32, 21	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	22, 23	⊢
	: , : , :
19	instantiation	24, 25	⊢
	:
20	instantiation	37, 32, 26	⊢
	: , : , :
21	instantiation	37, 35, 27	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.equality.substitution
23	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
24	theorem		⊢
	proveit.numbers.addition.elim_zero_right
25	instantiation	37, 28, 29	⊢
	: , : , :
26	instantiation	37, 35, 30	⊢
	: , : , :
27	instantiation	37, 38, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	37, 32, 33	⊢
	: , : , :
30	instantiation	37, 38, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	37, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
^*equality replacement requirements