Theorems · Theorem · functional analysis
ContinuousLinearMap.ext_ring
∀ {R₁ : Type u_1} [inst : Semiring R₁] {M₁ : Type u_4} [inst_1 : TopologicalSpace M₁] [inst_2 : AddCommMonoid M₁]
[inst_3 : Module R₁ M₁] [inst_4 : TopologicalSpace R₁] {f g : R₁ →L[R₁] M₁}, f 1 = g 1 → f = g- Cited by
- 16 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- ContinuousLinearMapstatement and proof · cited by 5,352
- LinearMap.ext_ringproof · cited by 152
- ContinuousLinearMap.coe_injproof · cited by 11
Cited by16
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.toSpanSingleton_apply_map_oneproof · cited by 5
- ContinuousLinearMap.toSpanSingleton_zeroproof · cited by 5
- HasDerivAt.star_conjproof · cited by 3
- ContinuousLinearMap.toSpanSingleton_powproof · cited by 3
- HasDerivAt.comp_semilinearproof · cited by 2
- IsOpen.exists_is_const_of_deriv_eq_zeroproof · cited by 1
- Real.hasDerivAt_fourierproof · cited by 1
- ContinuousLinearMap.adjoint_innerSL_applyproof · cited by 1
- HasDerivAtFilter.hasGradientAtFilterproof · cited by 1
- ContinuousLinearMap.intrinsicStar_toSpanSingletonproof · cited by 0
- InnerProductSpace.rankOne_one_right_eq_toSpanSingletonproof · cited by 0
- ContinuousLinearMap.ext_ring_iffproof · cited by 0