Theorems · Definition · group theory
MulEquiv.trans
{M : Type u_4} →
{N : Type u_5} → {P : Type u_6} → [inst : Mul M] → [inst_1 : Mul N] → [inst_2 : Mul P] → M ≃* N → N ≃* P → M ≃* PTransitivity of multiplication-preserving isomorphisms
- Defined in
- Mathlib.Algebra.Group.Equiv.Defs
- Cited by
- 53 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- MulEquivstatement and proof · cited by 1,142
- Equiv.transproof · cited by 337
- MulEquiv.toEquivproof · cited by 126
Cited by98
Results whose statement or proof uses this declaration.
- RingEquiv.transproof · cited by 54
- MulAction.stabilizerEquivStabilizerproof · cited by 16
- galRestrictproof · cited by 13
- OrderMonoidIso.transproof · cited by 11
- BialgEquiv.transproof · cited by 8
- CategoryTheory.Iso.conjAutproof · cited by 8
- ContinuousMulEquiv.transproof · cited by 7
- IsCyclic.mulAutMulEquivproof · cited by 6
- MulAut.congrproof · cited by 6
- SubMulAction.fixingSubgroupEquivFixingSubgroupproof · cited by 5
- autEquivZmodproof · cited by 5
- rootsOfUnityEquivOfPrimitiveRootsproof · cited by 5