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	reference	12	⊢
2	reference	13	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	reference	38	⊢
5	reference	15	⊢
6	instantiation	10	⊢
	: , : , :
7	reference	17	⊢
8	instantiation	36, 23, 11	⊢
	: , : , :
9	instantiation	12, 13, 14, 38, 15, 16, 17, 18^*	⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
11	instantiation	19, 20, 21	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.association
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	22	⊢
	: , :
17	instantiation	36, 23, 24	⊢
	: , : , :
18	instantiation	25, 26, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
20	instantiation	28, 29	⊢
	: , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	36, 30, 31	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
28	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	36, 34, 35	⊢
	: , : , :
32	axiom		⊢
	proveit.logic.equality.substitution
33	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements