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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 23, 5, 6, 7^*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
4	instantiation	30, 22, 8	⊢
	: , : , :
5	instantiation	9, 16	⊢
	:
6	instantiation	10, 11	⊢
	:
7	instantiation	12, 18, 13, 14^*	⊢
	: , :
8	instantiation	30, 20, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.negation.real_closure
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
12	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
13	instantiation	30, 22, 16	⊢
	: , : , :
14	instantiation	17, 18	⊢
	:
15	instantiation	30, 25, 19	⊢
	: , : , :
16	instantiation	30, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
18	instantiation	30, 22, 23	⊢
	: , : , :
19	instantiation	30, 31, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	30, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	27, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	30, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	33, 34	⊢
	: , :
29	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
^*equality replacement requirements