Theorems · Theorem · commutative algebra
MvPolynomial.expand_one
∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R], MvPolynomial.expand 1 = AlgHom.id R (MvPolynomial σ R)- Defined in
- Mathlib.Algebra.MvPolynomial.Expand
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- pow_oneproof · cited by 894
- MvPolynomial.Xproof · cited by 552
- AlgHom.idstatement · cited by 196
- MvPolynomial.algHom_extproof · cited by 55
- MvPolynomial.expandstatement · cited by 44
- MvPolynomial.expand_Xproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.map_iterateFrobenius_expandproof · cited by 0
- MvPolynomial.expand_one_applyproof · cited by 0