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	⊢
	: , : , :
1	reference	3	⊢
2	instantiation	3, 4	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.substitution
4	instantiation	5, 6, 7	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	8, 9, 10, 35, 11, 12, 15, 19, 13	⊢
	: , : , : , : , : , :
7	instantiation	14, 19, 15, 16	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.disassociation
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	17	⊢
	: , :
13	instantiation	18, 19	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
15	instantiation	33, 22, 20	⊢
	: , : , :
16	instantiation	21	⊢
	:
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	theorem		⊢
	proveit.numbers.negation.complex_closure
19	instantiation	33, 22, 23	⊢
	: , : , :
20	instantiation	24, 25, 26	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_reflexivity
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	33, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
25	instantiation	29, 30	⊢
	: , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	33, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1