Theorems · Theorem · functional analysis
SchwartzMap.ext
∀ {E : Type u_5} {F : Type u_6} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
[inst_3 : NormedSpace ℝ F] {f g : SchwartzMap E F}, (∀ (x : E), f x = g x) → f = g- Cited by
- 19 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- SchwartzMapstatement and proof · cited by 251
- DFunLike.extproof · cited by 240
Cited by19
Results whose statement or proof uses this declaration.
- SchwartzMap.smulLeftCLM_ofRealproof · cited by 5
- SchwartzMap.smulLeftCLM_constproof · cited by 4
- SchwartzMap.smulLeftCLM_smulLeftCLM_applyproof · cited by 3
- SchwartzMap.smulLeftCLM_sumproof · cited by 3
- SchwartzMap.fourier_lineDerivOp_eqproof · cited by 3
- SchwartzMap.smulLeftCLM_negproof · cited by 2
- SchwartzMap.lineDerivOp_fourier_eqproof · cited by 2
- SchwartzMap.fourier_evalCLM_eqproof · cited by 2
- SchwartzMap.smulLeftCLM_addproof · cited by 1
- SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquivproof · cited by 1
- SchwartzMap.smulLeftCLM_subproof · cited by 1
- SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquivproof · cited by 1