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^*	⊢
	: , : , : , : , : , :
1	reference	14	⊢
2	reference	15	⊢
3	reference	16	⊢
4	reference	17	⊢
5	instantiation	23	⊢
	: , :
6	instantiation	23	⊢
	: , :
7	reference	22	⊢
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
9	reference	19	⊢
10	instantiation	25, 11, 12	⊢
	: , : , :
11	instantiation	31, 13	⊢
	: , : , :
12	instantiation	14, 15, 16, 41, 17, 18, 22, 19, 20^*	⊢
	: , : , : , : , : , :
13	instantiation	21, 22	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.association
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	23	⊢
	: , :
19	instantiation	39, 28, 24	⊢
	: , : , :
20	instantiation	25, 26, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.elim_zero_right
22	instantiation	39, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	39, 33, 30	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	39, 33, 34	⊢
	: , : , :
30	instantiation	39, 36, 35	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.substitution
32	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	39, 36, 37	⊢
	: , : , :
35	instantiation	39, 40, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements