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, 8, 7, 29, 10, 5, 11, 12	⊢
	: , : , : , : , : , :
3	instantiation	6, 29, 7, 8, 9, 10, 11, 12, 13^*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	instantiation	14	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.association
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	instantiation	14	⊢
	: , :
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	27, 16, 15	⊢
	: , : , :
12	instantiation	27, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	18, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	27, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
19	instantiation	23, 24	⊢
	: , :
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	27, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
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
^*equality replacement requirements