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, 5, 6, 33, 7, 8, 11, 12, 9	⊢
	: , : , : , : , : , :
3	instantiation	10, 11, 12, 13	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	14	⊢
	: , :
9	instantiation	31, 16, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
11	instantiation	31, 16, 19	⊢
	: , : , :
12	instantiation	31, 16, 17	⊢
	: , : , :
13	instantiation	18	⊢
	:
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	20, 19	⊢
	:
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	20, 21	⊢
	:
18	axiom		⊢
	proveit.logic.equality.equals_reflexivity
19	instantiation	22, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.negation.real_closure
21	instantiation	31, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
23	instantiation	27, 28	⊢
	: , :
24	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	31, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1