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