Theorems · Theorem · field theory
Polynomial.add_modByMonic
∀ {R : Type u} [inst : CommRing R] {q : Polynomial R} (p₁ p₂ : Polynomial R), (p₁ + p₂) %ₘ q = p₁ %ₘ q + p₂ %ₘ q- Defined in
- Mathlib.Algebra.Polynomial.Div
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Nontrivialproof · cited by 2,416
- add_commproof · cited by 1,535
- LE.le.trans_ltproof · cited by 795
- add_assocproof · cited by 746
- Polynomial.Monicproof · cited by 461
- mul_addproof · cited by 413
- subsingleton_or_nontrivialproof · cited by 161
- Polynomial.modByMonicstatement and proof · cited by 82
- Polynomial.divByMonicproof · cited by 77
- add_left_commproof · cited by 76
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.modByMonicHomproof · cited by 4
- Polynomial.sub_modByMonicproof · cited by 1
- Polynomial.neg_modByMonicproof · cited by 1
- Polynomial.add_modproof · cited by 0