Theorems · Theorem · group theory
Con.smul
∀ {α : Type u_4} {M : Type u_5} [inst : MulOneClass M] [inst_1 : SMul α M] [IsScalarTower α M M] (c : Con M) (a : α)
{w x : M}, c w x → c (a • w) (a • x)- Defined in
- Mathlib.GroupTheory.Congruence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- MulOneClassSMulIsScalarTower
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- IsScalarTowerstatement and proof · cited by 3,896
- MulOneClassstatement and proof · cited by 1,018
- Constatement and proof · cited by 152
- Con.toSetoidproof · cited by 38
- smul_one_mulproof · cited by 15
- Setoid.refl'proof · cited by 14
- Con.mulproof · cited by 7
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