Theorems · Theorem · functional analysis
TrivSqZeroExt.snd_exp
∀ {R : Type u_3} {M : Type u_4} [inst : CommRing R] [inst_1 : AddCommGroup M] [Algebra ℚ R] [Module ℚ M]
[inst_4 : Module R M] [inst_5 : Module Rᵐᵒᵖ M] [inst_6 : IsCentralScalar R M] [inst_7 : TopologicalSpace R]
[inst_8 : TopologicalSpace M] [inst_9 : IsTopologicalRing R] [inst_10 : IsTopologicalAddGroup M]
[inst_11 : ContinuousSMul R M] [inst_12 : ContinuousSMul Rᵐᵒᵖ M] [T2Space R] [T2Space M] (x : TrivSqZeroExt R M),
(NormedSpace.exp x).snd = NormedSpace.exp x.fst • x.snd- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Algebrastatement and proof · cited by 11,388
- zero_addproof · cited by 2,366
- 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
- IsTopologicalRingstatement and proof · cited by 402
- TrivSqZeroExtstatement and proof · cited by 180
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