Theorems · Theorem · linear algebra
LinearEquiv.dilatransvections_pow_mono
∀ {R : Type u_1} {V : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup V] [inst_2 : Module R V],
Monotone fun n => LinearEquiv.dilatransvections R V ^ n- Defined in
- Mathlib.LinearAlgebra.Transvection.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingAddCommGroupModule
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- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- LinearEquivstatement · cited by 3,317
- Monotonestatement · cited by 1,397
- Set.NPowstatement · cited by 51
- LinearEquiv.dilatransvectionsstatement · cited by 22
- Set.pow_right_monotoneproof · cited by 3
- LinearEquiv.one_mem_dilatransvectionsproof · cited by 1
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