Theorems · Theorem · ring theory
RingCon.matrix_strictMono_of_nonempty
∀ {R : Type u_1} (n : Type u_2) [inst : NonUnitalNonAssocSemiring R] [inst_1 : Fintype n] [Nonempty n],
StrictMono (RingCon.matrix n)- Defined in
- Mathlib.LinearAlgebra.Matrix.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- StrictMonostatement · cited by 706
- RingConstatement · cited by 219
- Monotone.strictMono_of_injectiveproof · cited by 22
- RingCon.matrixstatement · cited by 10
- RingCon.matrix_injectiveproof · cited by 2
- RingCon.matrix_monotoneproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.