Theorems · Theorem · ring theory
RingCon.matrix_monotone
∀ {R : Type u_1} (n : Type u_2) [inst : NonUnitalNonAssocSemiring R] [inst_1 : Fintype n], Monotone (RingCon.matrix n)- Defined in
- Mathlib.LinearAlgebra.Matrix.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Monotonestatement · cited by 1,397
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- RingConstatement and proof · cited by 219
- RingCon.matrixstatement and proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- RingCon.matrix_strictMono_of_nonemptyproof · cited by 0