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.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	reference	29	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	assumption		⊢
8	assumption		⊢
9	modus ponens	11, 12	⊢
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	13	⊢
	: , : , :
12	generalization	14	⊢
13	theorem		⊢
	proveit.numbers.summation.summation_complex_closure
14	instantiation	15, 16, 17	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
16	instantiation	27, 19, 18	⊢
	: , : , :
17	instantiation	27, 19, 20	⊢
	: , : , :
18	instantiation	27, 22, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	27, 22, 23	⊢
	: , : , :
21	instantiation	27, 25, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	27, 25, 26	⊢
	: , : , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1