Theorems · Theorem · functional analysis
TrivSqZeroExt.exp_inl
∀ {R : Type u_3} {M : Type u_4} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [inst_3 : Module Rᵐᵒᵖ M]
[inst_4 : SMulCommClass R Rᵐᵒᵖ M] [inst_5 : TopologicalSpace R] [inst_6 : TopologicalSpace M]
[inst_7 : IsTopologicalRing R] [inst_8 : IsTopologicalAddGroup M] [inst_9 : ContinuousSMul R M]
[inst_10 : ContinuousSMul Rᵐᵒᵖ M] [Algebra ℚ R] [Module ℚ M] [T2Space R] [T2Space M] (x : R),
NormedSpace.exp (TrivSqZeroExt.inl x) = TrivSqZeroExt.inl (NormedSpace.exp x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- add_zeroproof · cited by 2,707
- SMulCommClassstatement and proof · cited by 1,927
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- T2Spacestatement and proof · cited by 1,351
- MulOppositestatement and proof · cited by 1,135
- ContinuousSMulstatement and proof · cited by 1,016
- smul_zeroproof · cited by 665
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.