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Theorems · Definition · Lie groups

ContinuousMulEquiv.symm

{M : Type u_1} →
  {N : Type u_2} →
    [inst : TopologicalSpace M] →
      [inst_1 : TopologicalSpace N] → [inst_2 : Mul M] → [inst_3 : Mul N] → M ≃ₜ* N → N ≃ₜ* M

The inverse of a ContinuousMulEquiv.

Defined in
Mathlib.Topology.Algebra.ContinuousMonoidHom
Cited by
27 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceMulMul

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ContAction.resEquiv · cited by 2ContAction.resEquivContinuousMulEquiv.symm_apply_apply · cited by 2ContinuousMulEquiv.symm_a…ContinuousMulEquiv.apply_symm_apply · cited by 2ContinuousMulEquiv.apply_…ContinuousMulEquiv.self_comp_symm · cited by 1ContinuousMulEquiv.self_c…ContinuousMulEquiv.self_trans_symm · cited by 1ContinuousMulEquiv.self_t…ContinuousMulEquiv.symm_symm · cited by 1ContinuousMulEquiv.symm_s…ContinuousMulEquiv.eq_symm_apply · cited by 1ContinuousMulEquiv.eq_sym…ContinuousMulEquiv.invFun_eq_symm · cited by 0ContinuousMulEquiv.invFun…MulEquiv.toContinuousMulEquiv_symm_apply · cited by 0MulEquiv.toContinuousMulE…ContAction.resEquiv_inverse · cited by 0ContAction.resEquiv_inver…ContinuousMulEquiv.equivLike_inv_eq_symm · cited by 0ContinuousMulEquiv.equivL…ContinuousMulEquiv.symm_apply_eq · cited by 0ContinuousMulEquiv.symm_a…ContinuousMulEquiv.symm_bijective · cited by 0ContinuousMulEquiv.symm_b…ContinuousMulEquiv.symm_comp_eq · cited by 0ContinuousMulEquiv.symm_c…ContinuousMulEquiv.symm_comp_self · cited by 0ContinuousMulEquiv.symm_c…TopologicalSpace · cited by 24529TopologicalSpaceMulEquiv · cited by 1142MulEquivMulEquiv.symm · cited by 482MulEquiv.symmContinuousMulEquiv · cited by 65ContinuousMulEquivContinuousMulEquiv.toMulEquiv · cited by 13ContinuousMulEquiv.toMulE…ContinuousMulEquiv.continuous_invFun · cited by 0ContinuousMulEquiv.contin…ContinuousMulEquiv.continuous_toFun · cited by 0ContinuousMulEquiv.contin…ContinuousMulEquiv.symmCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by30

Results whose statement or proof uses this declaration.