Theorems · Theorem · group theory

MulAction.IsPretransitive.of_isScalarTower

∀ (M : Type u_5) {N : Type u_6} {α : Type u_7} [inst : Monoid N] [inst_1 : SMul M N] [inst_2 : MulAction N α]
  [inst_3 : SMul M α] [IsScalarTower M N α] [MulAction.IsPretransitive M α], MulAction.IsPretransitive N α

Defined in: Mathlib.Algebra.Group.Action.Pretransitive
Cited by: 0 results in Mathlib
Foundations: Depth 9 from the axioms · uses no axioms
Assumes: Monoid SMul MulAction SMul IsScalarTower MulAction.IsPretransitive

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IsScalarTowerstatement and proof · cited by 3,896
Monoidstatement and proof · cited by 3,887
MulActionstatement and proof · cited by 1,294
MulAction.IsPretransitivestatement and proof · cited by 94
smul_one_smulproof · cited by 43
MulAction.IsPretransitive.of_smul_eqproof · cited by 2

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