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Try doing some basic maths questions in the Lean Theorem Prover. Functions, real numbers, equivalence relations and groups. Click on README.md and then on "Open in CoCalc with one click".
Project: Xena
Views: 18536License: APACHE
/-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import ring_theory.principal_ideal_domain
import ring_theory.polynomial
/- Turn off trace messages so they don't pollute the test build: -/
set_option trace.silence_library_search true
example {α : Type} [euclidean_domain α] {S : ideal α} {x y : α} (hy : y ∈ S) : x % y ∈ S ↔ x ∈ S :=
by library_search -- exact mod_mem_iff hy
variables {R : Type} [comm_ring R] [decidable_eq R]
variables {I : ideal (polynomial R)}
example {m n : ℕ} (H : m ≤ n) : I.leading_coeff_nth m ≤ I.leading_coeff_nth n :=
by library_search -- exact ideal.leading_coeff_nth_mono I H