Theorems · Theorem · functional analysis
MulAlgebraNorm.toFun_eq_coe
∀ {R : outParam (Type u_1)} {S : outParam (Type u_2)} [inst : SeminormedCommRing R] [inst_1 : Ring S]
[inst_2 : Algebra R S] (p : MulAlgebraNorm R S), p.toFun = ⇑p- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- AddGroupSeminorm.toFunstatement · cited by 47
- SeminormedCommRingstatement and proof · cited by 38
- MulAlgebraNormstatement and proof · cited by 15
- MulRingSeminorm.toAddGroupSeminormstatement · cited by 14
- MulRingNorm.toMulRingSeminormstatement · cited by 9
- MulAlgebraNorm.toMulRingNormstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MulAlgebraNorm.extends_norm'proof · cited by 1