Theorems · Definition · functional analysis
AlgebraNorm.noConfusion
{P : Sort u} →
{R : Type u_1} →
{inst : SeminormedCommRing R} →
{S : Type u_2} →
{inst_1 : Ring S} →
{inst_2 : Algebra R S} →
{t : AlgebraNorm R S} →
{R' : Type u_1} →
{inst' : SeminormedCommRing R'} →
{S' : Type u_2} →
{inst'_1 : Ring S'} →
{inst'_2 : Algebra R' S'} →
{t' : AlgebraNorm R' S'} →
R = R' →
inst ≍ inst' →
S = S' → inst_1 ≍ inst'_1 → inst_2 ≍ inst'_2 → t ≍ t' → AlgebraNorm.noConfusionType P t t'- 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Norm.normproof · cited by 5,413
- AddGroupSeminorm.toFunproof · cited by 47
- AlgebraNormstatement and proof · cited by 39
- SeminormedCommRingstatement and proof · cited by 38
- RingNormproof · cited by 16
- RingSeminorm.toAddGroupSeminormproof · cited by 16
- RingNorm.toRingSeminormproof · cited by 11
- AlgebraNorm.casesOnproof · cited by 0
- AlgebraNorm.noConfusionTypestatement · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraNorm.mk.noConfusionproof · cited by 1