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	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	29	⊢
3	reference	24	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	9	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	27, 14, 10	⊢
	: , : , :
8	instantiation	11, 12	⊢
	:
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10	instantiation	27, 17, 13	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.negation.complex_closure
12	instantiation	27, 14, 15	⊢
	: , : , :
13	instantiation	27, 22, 16	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	27, 17, 18	⊢
	: , : , :
16	instantiation	19, 20, 21	⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	27, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
20	instantiation	27, 28, 24	⊢
	: , : , :
21	instantiation	27, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	27, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
26	assumption		⊢
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