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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.addition.elim_zero_any
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8	⊢
	: , :
6	instantiation	25, 10, 9	⊢
	: , : , :
7	instantiation	25, 10, 17	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	instantiation	11, 12, 13	⊢
	: , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
11	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
12	instantiation	25, 20, 14	⊢
	: , : , :
13	instantiation	15, 16, 17, 18	⊢
	: , : , :
14	instantiation	25, 23, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
17	instantiation	25, 20, 21	⊢
	: , : , :
18	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
19	instantiation	25, 26, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	25, 23, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1