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