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	, , , ⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	10	⊢
	: , : , :
6	instantiation	40, 27, 11	⊢
	: , : , :
7	instantiation	14, 22, 12	⊢
	: , :
8	instantiation	14, 22, 13	⊢
	: , :
9	instantiation	14, 15, 16	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
11	instantiation	40, 31, 17	⊢
	: , : , :
12	instantiation	40, 27, 18	⊢
	: , : , :
13	instantiation	40, 27, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
15	instantiation	20, 21, 22, 23	⊢
	: , :
16	instantiation	40, 27, 24	⊢
	: , : , :
17	assumption		⊢
18	assumption		⊢
19	instantiation	40, 31, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.division.div_complex_closure
21	instantiation	40, 27, 26	⊢
	: , : , :
22	instantiation	40, 27, 28	⊢
	: , : , :
23	instantiation	29, 30	⊢
	:
24	instantiation	40, 31, 32	⊢
	: , : , :
25	assumption		⊢
26	instantiation	40, 34, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	40, 34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
32	assumption		⊢
33	instantiation	40, 37, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	40, 37, 38	⊢
	: , : , :
36	instantiation	40, 41, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	40, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2